Assume f(x) = -2x + 8 and g(x) = 3x. What is the value of ( g o f) (3)?

Answers

Answer 1

Answer:

6

Step-by-step explanation:

when calculating (g of f)(3) you first have to substitute 3 in the f(x) equation which would be -2(3)+8=-6+8=2. then you have to do g of f, which is g(2) in this case, and 3(2)=6.

hope this helps! :D


Related Questions

Determine the number of solutions the system of 6(x+2)=y and y=3(2x+3) will have.

Answers

Answer:

  0 solutions

Step-by-step explanation:

The two equations describe parallel lines, so will have no point of intersection. There are no solutions to this system of equations.

__

The equations can be put into slope-intercept form by eliminating the parentheses.

  6(x +2) = y   ⇒   y = 6x +12

  y = 3(2x +3)   ⇒   y = 6x +9

These have the same slope (6), but different y-intercepts (9 and 12). They are parallel lines.

PLEASE HELP ME (it's for my math HW Verifying Inverse Functions)

Answers

The last answer is no.
Ok done. Thank to me:>

HELP ME
Todd surveyed the 25 7th grade students in the art club to determine what movies 7th grade students prefer.

Explain why this is not an appropriate sample to use to infer the preference of all 7th grade students.

Describe a better sampling method.

HELPPP​

Answers

Answer:

Step-by-step explanation:

It isn't an appropriate sample to use to infer the preference of all 7th grade students because they only get the students in one club, a better sampling method would be to get the answer from 25 grade 7 students in other clubs including the art club.

- i'm sorry if this doesn't make any sense

Todd's method of sampling is incorrect because he chose the student from a single club. To make it better he has to choose students from different clubs.

What is a sample method?

The sampling method is the method of selecting the subset from the set to make a statical inference.

Todd surveyed the 25, 7th-grade students in the art club to determine what movies 7th-grade students prefer.

This method is not an appropriate sample to use infer preference of all 7th-grade students because they only get the students in one club, a better sampling method would get the correct surveyed from 25 grade 7 students in other clubs including the art club.

More about the sample method link is given below.

https://brainly.com/question/15125943

find the value of x.

Answers

Answer:

for which one all ?

Step-by-step explanation:

because if so lemme know

Please help me please help meeee

Answers

Answer:

for the first one the answer is 65.94 and for the second one its 50.27

Step-by-step explanation:

to find circumference from diameter(the half) you just multiply your diameter by pie(3.14). To find the circumference from the radius(the line on second circle), you just do 2 x pie(3.14) x R(which in this case is 8) and that will give you your answer

This net folds into the cube shown beside it. Which letters will be on the front and top?

Answers

Answer:

f

and

c

the top is f and front is c

Step-by-step explanation:

f and c

E and C

Step-by-step explanation:

E on the front

C on the top

I hope it helps

What are the zeros of the function
f(x)=x^2+2x-8

Answers

Answer:

-4, 2    (-4,0) (2,0)

Step-by-step explanation:

factoring in binomials

[tex](x+4)(x-2)=x^{2} +2x-8[/tex]

The zeros:

[tex]x+4=0\\x=0-4\\x_{1} =-4[/tex]

[tex]x-2=0\\x=0+2\\x_{2} =2[/tex]

I hope this help you

solve the following equation
d) 0 = 12 + 2 ( m - 8 )
pls pls pls pls plz plz answer steps ​

Answers

[tex] \: \: \: \: \: \: \: \: [/tex]

[tex]m = 2[/tex]

Step-by-step explanation:

[tex]0 = 12 + 2(m - 8)[/tex]

remove the parentheses and distribute 2 through the parentheses

[tex]0 = 12 + 2m - 16[/tex]

calculate the difference

[tex]0 = - 4 + 2m[/tex]

move the variable to the left hand side and change its sign

[tex] - 2m = - 4[/tex]

divide both sides of the equation by -2

[tex] = m = 2[/tex]

hope it helps

[tex] \: \: \: [/tex]

Answer:

m = 2

Step-by-step explanation:

0 = 12 + 2 ( m - 8 )

→ Expand the brackets

0 = 12 + 2m - 16

→ Add 16 to both sides

16 = 12 + 2m

→ Minus 12 from both sides

4 = 2m

→ Divide both sides by 2

2 = m

need a step by step explanation pls help me

Answers

Answer:

This is my guess...

"Even today, the need for work is a common reason people move to urban areas."

Step-by-step explanation:

The article talks about technology and how it lead to bigger cities in the past. Because we are reading about prior years, there is no need to talk about the present day.

Please answer quickly

Part 1. Using the two functions listed below, insert numbers in place of the letters a, b, c, and d so that f(x) and g(x) are inverses.

f(x)=x+a/b

g(x)=cx-d


Part 2. Show your work to prove that the inverse of f(x) is g(x).

Part 3. Show your work to evaluate g(f(x)). Part 4. Graph your two functions on a coordinate plane. Include a table of values for each function. Include five values for each function. Graph the line y=x on the same graph.

Part 4. Graph your two functions on a coordinate plane. Include a table of values for each function. Include five values for each function. Graph the line y=x on the same graph.

Task 2

Part 1. Create two radical equations: one that has an extraneous solution, and one that does not have an extraneous solution. Use the equation

a√x+b+c=d

Part 2. Use a constant in place of each variable a, b, c, and d. You can use positive and negative constants in your equation. Part 2. Show your work in solving the equation. Include the work to check your solution and show that your solution is extraneous.

Part 3. Explain why the first equation has an extraneous solution and the second does not.

Answers

f(x)=(x+a)/b

or bf(x)=x+a

let f(x)=y

by=x+a

flip x and y

bx=y+a

or y=bx-a

or f^{-1}(x)=bx-a

also g(x) is inverse of f(x)

bx-a=cx-d

so b=c,a=d

again let g(x)=y

y=cx-d

flip x and y

x=cy-d

cy=x+d

y=(x+d)/c

or g^{-1}(x)=(x+d)/c

also f(x) is inverse of g(x)

so (x+a)/b=(x+d)/c

so a=d,b=c

so in either case a=d,b=c

take b=c=1

a=d=2

f(x)=(x+2)/1=x+2

g(x)=1x-2=x-2

so f(x) and g(x) are two parallel lines f(x) with y- intercept=1 and slope 0

g(x) with y-intercept -2 and slope 0

if we take b=c=2,a=d=3

f(x)=(x+3)/2=x/2+3/2

g(x)=2x-3

here f(x) is of slope 1/2 and y-intercept 3/2

g(x) is of slope 2 and y intercept -3

part 3.

f(f(x))=g((x+a)/b)=c[(x+a)/b]-d=(c/b)(x+a)-d

An inverse function or an anti function exists described as a function, which can change into another function. In other words, if any function “f” carries x to y then, the inverse of “f” will carry y to x.

Part 1: f(x) = (x+2) / 3 and g(x) = 3y-2.

Part 2: g(x) = 3x - 2, the inverse.

Part 3: g(f(x)) = x showing that f(x) and g(x) are mutual inverses.

What is inverse function?

An inverse function in mathematics exists function which "reverses" the another function.

TASK 1

Part 1

Let y = f(x) = (x + a) / b

x = g(y) = by-a = cy-d,

so c = b and d = a.

Let d = a = 2 and c = b = 3

f(x) = (x+2) / 3 and g(x) = 3y-2.

Part 2

y = f(x) = (x+2) / 3

3y = x+2  

x = 3y-2 = g(y)

so g(x) = 3x - 2, the inverse.

Part 3

g(f(x)) = 3

f(x)-2 = 3(x+2)/3-2 = x+2-2 = x,

so g(f(x)) = x showing that f(x) and g(x) exists mutual inverses.

x       -2  -1        0    1     2

f(x)    0    1/3   2/3   1    4/3

g(x)  -8   -5      -2    1      4

Part 4

The graph is given below.

TASK 2

Part 1

(a) Let a=1, b=2, c=3, d=6: [tex]$\sqrt{x}[/tex]+2+3=6 ; [tex]\sqrt{x}[/tex]-6=-5

(b) Let a=-1, b=2, c=3, d=4

(a) Multiply both sides by

[tex]$\sqrt{x}+6: x-36=-5(\sqrt{x}+6)=-5 \sqrt{x}-30[/tex]

[tex]$ x-36+30=-5 \sqrt{x }[/tex]

[tex]$ x-6=-5 \sqrt{x}$[/tex]

Square both sides:

[tex]$x^{2} -12 x+36=25 x ; x^{2} -37 x+36=0=(x-36)(x-1)$[/tex].

Part 2

(a) So x=36 or 1 (apparently).

Substitute x=36 in the original equation: 6+2+3=6, 11=6 is not true.

So x=36 is an extraneous solution.

substitute x=1: 1+2+3=6 is true, so x=1 exists the actual solution.

(b) [tex]$-\sqrt{x}+2+3=4 ;-\sqrt{x}=-1$[/tex]; multiply both sides by -1: [tex]$\sqrt{x}=1$[/tex]; square both sides: x=1.

Substitute x=1 in the original equation: -1+2+3=4 is true.

So x = 1 is the solution.

Part 3

(a) the act of squaring both sides resulted in creating an extraneous solution [tex]$\left((-5)^{2} =25=5^{2} \right)$[/tex].  

(b) the solution was simpler and there was no ambiguity.

To learn more about inverse function

https://brainly.com/question/11735394

#SPJ2



What is the slope of the line below ? [ question 4/0 ]

Answers

Answer:

2/3

Step-by-step explanation:

     [] Since is the line is going up from bottom-left to top-right, we know it will be positive

     [] Because this graph has distinctive coordinate-points, we can use rise over run

     () The other method is to use the change in y divided by the change in x

We start at (-2, 0), then count 2 up and 3 over to get to (2, 1) which gives us a slope of 2/3

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

plzzz help?????????????????????

Answers

Answer:

Step-by-step explanation:

Pythagorean theorem: base ² +altitude² = hypotenuse²

1) hypotenuse² = base² + altitude²

          x² = 6² + 3²

               = 36 + 9

               = 45

         x = √45

         x = 6.7 cm

4) base ² +altitude² = hypotenuse²

x ² + 3.7 ² =  4.2 ²

x ² + 13.69 = 17.64

             x ² = 17.64 - 13.69 = 3.95

             x = √3.95

            x = 1.99 cm

10)c ² = a ² + b ²

           = 3 ² +4 ²

         = 9 + 16

  c ² = 25

c = √25 = 5

11) a ² + b ² = c ²

9 ² +b² = 13 ²

81 + b² = 169

     b² = 169 - 81 = 88

b = 9.38

12) a² + b² = c²

12² + b² = 22²

  144 + b² = 484

           b² = 484 - 144 = 340

           b =√340 = 18.44

               

answer in feet and inches
b) (2 yd. 2 ft.) + (7 yd. 9 in)​

Answers

Answer:

12 feet 9 inches

Step-by-step explanation:

There are 3 feet in a yard, and 12 inches in a foot. Multiply those together and you get 36 inches in a yard.

2 yards × 36 inches/yard = 72 inches

2 feet × 12 inches/foot = 24 inches

72 inches + 24 inches = 96 inches

------------

7 yards × 36 inches/yard = 252 inches

252 inches + 9 inches = 261 inches

==============

Add those together:

96 inches + 261 inches = 357 inches

Then to convert to feet again, you need to divide by 12 and find the remainder. I prefer to do it with a calculator like this, but you can do it however you prefer:

357 ÷ 12 = 29.75 feet (round down)

12 × 29 = 348 inches in 12 feet

Then find the remainder:

357 - 348 = 9 inches

12 feet 9 inches

i wil make u brainliest
help help help

Answers

Answer:

I can only answer ii.

A=Lxwxh

=6mx3mx4m

=18mx4m

A=40msquared .

A=Lxwxh

40msquared = 6mx3mxh

40msquared =18msquaredxh

40/18msquared=18xh/18msquared

131/3=h.

that's what I thought

Step-by-step explanation:

I think I should first find the area

of the figure.then I will use the area to find the height.

What's the scale factor!!!! Please help

Answers

Answer:

scale factor is 1:4

Step-by-step explanation:

the blue rectangle is 4 times larger than the black one; you can compare coordinates; for example, (4,5) becomes (16,20)

:) !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

:)!!!!!!!!!!!!!!!!!!!

:)

<3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3

Write an equation in slope-intercept form of the line shown. (-6, 4) (-2, 2)

Answers

Y=-1/2+1, y equals negative one half plus one

Could someone explain this to me?

Answers

Answer:

B.97

Step-by-step explanation:

Heyy so angle ADC and DAB are supp to one another, thus

83 + DAB = 180 --> subtracting

DAB =97. B

Hope that made sense :)

I thought of a 2 digit number. The digits of my number are different. The unit digit of my number is the tens digit raised theird power. What is my number?

Answers

Answer:

Step-by-step explanation:

I thought of a 2 digit number. The digits of my number are different:  [XY]

Then I'm lost. Does "The unit digit of my number is the tens digit raised third power" mean that the X is raised to the third power?:

X^3

But then we need more information.  X could be 1, 2,3, or 4.  At 5 it becomes a three digit number.  All of the other option result in a two digit number with different digits, so all seem possible.  I don't know how to answer this without more information.

Andrea has 473 scented stickers in her sticker book. How many tens of stickers does Andrea have?

7

40

47

70

Answers

Answer:

47 is the correct answer.

Step-by-step explanation:

Answer:

47

Step-by-step explanation:

divide 473 by 10

473 divided by 10 = 47

The age of father is 30 yeays more than that
of hs Son. Aller 5 years.Fother's age will be thrice of his
Find thiey present age

Answers

Step-by-step explanation:

check the attached file

consider the equation ​

Answers

Answer: 6

Step-by-step explanation:

1. 2(4 + px) = 12x (write it down)

2. 8 + 2px = 12x (distributive property)

3. 8/2 + 2px/2 = 12x/2 (divide all by 2

4. 4 + px = 6x

5. 4 = 6x - px

Plug all in:

4 = 6x - 2x (possinle)

4 = 6x - 6x (not possible)

4 = 6x - 12x (possible)

4 = 6x - 24x (possible)

Answer: 6

because:

4 = 6x - 6x

4 = 0

b. Solve 3v – 5 = 2v + 10 by gathering the constant terms on the left side
and the variable terms on the right side of the inequality.

Answers

Answer:

so subtract -2v to the left side add 5 to the right side so your left with

v = 15

Answer:

15 = v

Step-by-step explanation:

First start by grouping like terms,

=> - 5 - 10 = 2v - 3v

evaluate the LHS and RHS

=> - 15 = - v

Divide through by the coefficient of v, which in this case is - 1

=>

[tex] \frac{ - 15}{ - 1} = v[/tex]

Therefore, 15 = v

please is for today and fast

Answers

Answer:

slope= [tex]\frac{2}{3}[/tex] or 0.6

y-intercept= -1

y= 0.6x+ -1

Step-by-step explanation:

slope= [tex]\frac{rise}{run}[/tex]

the y-intercept is where the line crosses the y axis

the equation for a line is y=mx+b where m is slope and  b is y

Answer:

Slope: 1.5

Y-intercept: (0,-1)

Equation of the line: y=1.5x-1

Step-by-step explanation:

Slope=

change of y/change of x=

3/2 (or 1.5)

Equation of the line:

y=1.5x+b

-1=1.5(0)+b

-1=b

y=1.5x-1

Assuming lines m and n are parallel, what is the value of x?

Answers

If the two lines are parallel then the two angles are equal - vertically opposite angles are always equal:
6x - 7 = 4x - 1

First get all the x’s on one side and the numbers on the other:
6x - 4x = -1 + 7

This can be simplified:
2x = 6

Finally, divide both sides by 2:
x = 3

Hope this helps!

On Tuesday, a restaurant serves iced tea to 24 of its 160 customers. What percent of the customers order iced tea

Answers

Answer:

15%

Step-by-step explanation:

24/160 = 0.15

0.15*100 = 15

Please help me find the answer, and show me how you got it too!
39 ft/min= _yds/s

Answers

Answer:0.216667

Step-by-step explanation: I figured out how many ft r in a yard the how many seconds r in a mi then went from there.

can you solve the sums

Answers

Solutions:

[tex](a) {11}^{a} = 1331 \\ = > {11}^{a} = {11}^{3} \\ = > a = 3[/tex]

[tex](b) {2}^{b} = \frac{1}{128} \\ = > {2}^{b} = (\frac{1}{2} ) ^{7} \\ = > {2}^{b} = {2}^{ - 7} \\ = > b = - 7[/tex]

[tex](c) {9}^{c} = 243 \\ = > {3}^{2 \times c} = {3}^{5} \\ = > {3}^{2c} = {3}^{5} \\ = > 2c = 5 \\ = > c = \frac{5}{2} \\ = > c = 2.5[/tex]

[tex](d) {10}^{d} = 0.01 \\ = > {10}^{d} = \frac{1}{100} \\ = > {10}^{d} =( \frac{1}{10} ) ^{2} \\ = > {10}^{d} = {10}^{ - 2} \\ = > d = - 2[/tex]

Answers:a = 3b = -7c = 2.5d = -2

Hope it helps.

Do comment if you have any query.

NEED ASAP ! WORTH 20 POINTS

What is the slope of this line?



Enter your answer as a whole number or a fraction in simplest form in the box.

Answers

Answer:

-1

Step-by-step explanation:

Using the formula to find gradient or slope:

m = (y2 - y1)/ (x2 - x1)

Using any two points from the graph: (-2, 0) (0, -2)

Substitute this into the equation to get the answer of -1.

The sales tax in your city is 8.8\%8.8%8, point, 8, percent, and an item costs \$63$63dollar sign, 63 before tax.
How much tax would you pay on that item?
Round to the nearest hundredth or cent.

Answers

Answer:

68.54 dollars is you answer you would do 63 times .088 and add 63 to your answer

Step-by-step explanation:

Other Questions
What security feature on a smartphone prevents the device from being used until a passcode is entered? 1.What is an opinion?2.Why do we need to use opinion marking signals?PA HELP PO PLSS Youre pretty Without (c)You are du(m)b Which is an x-intercept of the graph of the What is the value of y in y = 2x - 5, when x = 3.9? Find the 66th term of the arithmetic sequence 3, 13, 23, ...3,13,23,... Find the exact value of the expression below Sec 30degrees Cos 30degrees - tan 60degrees cot 60degrees Someone help this is hard 7a 12q + 6a + 13q + 4a 7a what year did the first thanksgiving feast take place A free bird leaps on the back of the wind and floats downstream till the current ends and dips his wing in the orange sun rays and dares to claim the sky. ""Caged Bird," Maya Angelou Read the stanza. What is the figurative meaning of the phrase "floats downstream"? has no worries likes many things needs few people glides with the water. It is acloudy morning it looks like it -----------rain in the after noon. NEED HELP ASAP PLS In what ways did African-American journalists and activists reveal the extent of racial violence?I need a topic sentence and a paragraph Write an explicit formula for the recursive formula A(n) = A(n - 1) + 3; A(1) = 6 HELP ME ILL GIVE U EVERYTHJNG PLEASE HELP GIVING BRAINLIEST Can someone tel me if the answers are correct ? Please Are these ratios equivalent?825 trees : 660 bushes929 trees : 809 bushesyes no HELLPPP meeeeeee e PLEASEEEEE E Eating a healthy breakfast gives your body the energy needed to help you start your day.. The girl in the photo is having cereal and orange jucie, both of which habe stored _____ energy, a form of ____________ energy. The girls body breaks down the components of the food to access the energy __________ in them. Later in the day, some of this energy is _______ into _ energy that will alow the girl to study and play sports. Some of this energy is also _________ into ____ energy that keeps her body warm.