Determine the inverse of the function

Answers

Answer 1
First, replace f(x) with y . ...
Replace every x with a y and replace every y with an x .
Solve the equation from Step 2 for y . ...
Replace y with f−1(x) f − 1 ( x ) . ...
Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.

Related Questions

Identify one point and the slope from the equation y + 4 = 1/3(x - 1)
A. m = 4 Point = (1/3, 1)
B. m = 1/3 Point = (1,-4)
C. m = 1/3 Point = (1, 4)
D. m = 1/3 Point = (-1, 4)​

Answers

Answer:

B

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y + 4 = [tex]\frac{1}{3}[/tex] (x - 1) ← is in point- slope form

with m = [tex]\frac{1}{3}[/tex] and (a, b ) = (1, - 4 ) → B

ONLY BOTS WITH LINKS KEEP ANSWERING MY QUESTION PLEASE SOMEONE HELP ME WITH THIS

Answers

You didn't really describe what we're supposed to do, but I'm going to assume they want you to graph it.

The first equation has a slope of 3/5x, meaning that for every 3 units it moves upwards, it moves right 5 units. It has a y-intercept of 8, meaning that the line will cross through (0, 8) on the coordinate plane. Start your point on (0, 8) and draw a line that goes up 3 units and 5 units.

The second equation has a slope of -4/5x, meaning that for every 4 units it moves upwards, it moves left 5 units OR for every 4 units it moves down it moves 5 units right. The y-intercept is 1, so the line will go through (0, 1). Start your point on (0, 1), and draw a line that follows the slope, just like last time.

If this is all correct and the best answer, please give me brainliest as I'm trying to rank up. Thanks!

Solve pls brainliest

Answers

Answer:

If u double both numerator & denominator, this ration is 46/100

This answer is 46%

fill in the blank to make the fractions equivalent. 5/6 ?/12

Answers

Answer:    5/6 = 10/12

Step-by-step explanation:  

Please help (WILL MARK BRAINLIEST) if right and it has an explanation.

Answers

Answer:

64 cm^2

Step-by-step explanation:

First we find the area of the central square: 4^2=16 cm^2

Then we can find the area of the 4 other triangles: 6*4*1/2*(4)->(There are 4 triangles)

We get 48+16, which is 64 cm^2

Simplify.
36x4y6z2
12xy8z2

Answers

Answer:

(36/12)×(4y/8y)×(z2/z2)×6×(x/x)=

3× 1/2 ×6

3/2×6=9

Mr and Mrs Smith buy tickets for themselves and 4 children
The cost of an adult ticket is £6 more than the child ticket
The total cost of the 6 tickets are £40.50
What is the cost of an adult ticket?

Answers

Answer=

$10.75 is the cost of an adult ticket

Answer:

£10.75

Step-by-step explanation:

6 tickets=£40.50

cost of adult=£6 more than a child's

let's form an equation!

x is the cost of children tickets and since we have 4 of them it leaves us with 4x. And an adult ticket is £6 more than a child's, so that leaves us with 6+x. And since we have 2 of them we get 2(6+x). So with this info, we can make an equation and solve it to find x:

2(6+x)+4x=40.50

12+2x+4x=40.50

12+6x=40.50

6x=28.50

x=4.75=the cost of a child ticket

adult ticket =£10.75

Please help!!!!!!!!!!!

Answers

Answer:

10. right triangle 11. obtuse triangle 12. right triangle 13. right triangle

Step-by-step explanation:

factorise

3a^2+8a+4


someone help​

Answers

Answer:

(3a+2) (a+2)

Step-by-step explanation:

3a²+8a+4

ur sum is 8

ur product is 12

6x2 = 12

6+2=8

3a²+6a+2a+4

3a(a+2)+2(a+2)

(3a+2) (a+2)

Start by writing (3a + ) (a + )
+ is determined by the + in the problem
Next think of a number that will multiply to get 4 and add to get 8 (this is multiplied by 3)
The answer is:
(3a + 2) (a + 2)
To check the work expand it to find you get the original function again

I need some help with this one I'm lost!

Answers

Answer:

-334

Step-by-step explanation:

tyes sfdfa d

Demarco and Tanya have received information about three separate mortgage offers. In two or three paragraphs, describe your recommendation for the best financial choice in their situation. Evaluate each of the three offers, compare and contrast their effectiveness, and explain the offer that works best. As you explain your answer, support it using reasons and evidence from the calculations you made based on the information provided in this guide for Analyzing Mortgage Options.

Answers

Answer:

Option A would be the best option, as the payment would not change. Option B has a lower payment, but that payment is expected to rise and eventually be a bigger payment. Option C would require them to pay it off in 8 years, which would be too much based on their income and they would end up having to get another mortgage. Option C would be better if they wanted to live their temporarily, but Demarco and Tanya would like to live in their house permanently. This makes option A the best option because it is an affordable payment that will not change.

Step-by-step explanation:

The best option will be option A which will be chosen by Demarco and Tanya.

What is finance?

Finance deals with the study of money, management, creation, and investments. Also, finance is divided into the following board of categories such as personal finance, corporate finance, and public finance.

The best option will be option A which will be chosen by Demarco and Tanya as the payment plan would not change in this situation.

Option B has a lower payment, but the payment is expected to increase with time and eventually be a bigger payment.

Also, option C would require them to pay it off in 8 years but both of them want to live permanently not separately. Therefore, the best option to choose will be option A.

So, The best option will be option A which will be chosen by Demarco and Tanya.

Learn more about finances;

brainly.com/question/9851444

Please help I do not understand

Answers

Answer:

-3/7

Step-by-step explanation:

Hi,

First of all, we know that the slope is not undefine because both the x-coordinates are not the same.

To find the slope, do change in y/change in x. Here, it would be ((2/7)-(5/7))/(2-1) or (-3/7)/1. Hence, the slope is -3/7.

If PM = 6x + 7 and PN = 12x – 5. Find the length of PL.

Answers

Answer:

Step-by-step explanation:

6x+y=88-6. 4=2x-6. 10=2x. (X=5. 14 pm = PN =PL. 4X+7=12x-5. 7=88-5.

Norachai was going to sell all of his stamp
collection to buy a video game. After
selling half of them he changed his mind.
He then bought seven more. How many did
he start with if he now has 25?

Answers

subtract by seven, multiply by 2: 25-7=18 x 2=36

PLEASE HELP ME I'LL GIVE YOU BRAINLIEST

Answers

Answer:

1. The measure of a right angle is greater than the measure of an acute angle.

2. Given

3. Perpendicular lines form right angles.

4. If two angles of a right triangle...

(Please thank and rate if my answer helped!!!!)

Step-by-step explanation:

equivalent to -36 - 8

Answers

Answer:

-44

Step-by-step explanation:

Answer: -44

Step-by-step explanation: same as 36 + 8 and make the answer negative.

H=
And the equation

Answers

Answer:

equation: 10.00+2.50h=7.00+4.00h

10+2.5h-4h=7

10-1.5h=7

-1.5h=7-10

1.5h/1.5=-3/1.5

h=2

ssion 4 x (20 – 1) if a = 3?
What the answer?

Answers

Answer:

20

Step-by-step explanation:

Question:

4 × (2a - 1)

Given value:

a = 3

Solution:

4 × (2a - 1)

= 4 × (2(3) - 1) [Substituting the value of a=3]

= 4 × (6 - 1) [Simplification]

= 4 × 5 [On further simplification]

= 20

Hence, 20 is the required answer.

Answer:

20

Step-by-step explanation:

a = 3

4 × (2a - 1) =

= 4 × (2 × 3 - 1)

= 4 × (6 - 1)

= 4 × 5

= 20

Jeriel decides to research the relationship between the length in inches and the weight of a certain species of catfish. He measures the length and weight of a number of specimens he catches, then throws back into the water. After plotting all his data, he draws a line of best fit. Based on the line of best fit, how much would you predict a catfish with a length of 33 inches would weigh?

Answers

A catfish with a length of 33 inches would weigh 30 pounds.

Linear equation

A linear equation is in the form of:

y = mx + b

where y,x are variables, m is the rate of change and b is the y intercept.

Let y represent the catfish weight with x inches length

From the line of best, it passes through (20, 4) and (23, 10), hence:

y - 4 = [(10 - 4)/(23 - 20)](x - 20)

y = 2x - 36

For a length of 33 inches:

y = 2(33) - 36 = 30 pounds

A catfish with a length of 33 inches would weigh 30 pounds.

Find out more on Linear equation at: https://brainly.com/question/14323743

PLEASEEEEE Help me with this

Answers

b is the correct answer :)

Consider the following shape drawn on a centimetre grid. I 1.1) Determine the perimeter of this shape.​

Answers

Answer:

its 19 ur welcome byeeee

Step-by-step explanation:

Describe in words the following expressions.

2x + 15

5y - 12

Answers

Answer:

2x+15 = Two times some value of fifteen

a rectangle is 40cm long and 30cm wide, use a scale of 1cm to represent 10cm to draw a scale diagram of the rectangle on the grid.​

Answers

Hello mariamhifzur!

Given,

A rectangle is 40 cm long & 30 cm wide. So,

Length = 40 cmWidth = 30 cm

Now, using a scale of 1 cm to represent 10 cm we need to draw a scale diagram of the rectangle on the grid.​

At first we need to convert the measurements of the rectangle in real life to its scale measurements.  In the question given, we need to convert 10 cm to 1 cm in the scale. So,

Length = 40 cm = 4 cm (in the scale figure)Width = 30 cm = 3 cm (in the scale figure)

Now, suppose each grid is equal to 1 cm. Then, we can take the measurements as :

Length = 4 cm = 4 boxes/gridsWidth = 3 cm = 3 boxes/grids

Let's draw the figure now. Our rectangle looks like ... (see the attachment).

_____________

[tex]\mathfrak{Lucazz}[/tex]

in a class there are 48 students the number of the girls is 3 times how many boys and girls are in class​

Answers

Answer:

There are 12 boys and 36 girls.

Step-by-step explanation:

This equation should help explain it.

x + 3x = 48

Let's say that there are an x number of boys. Then there would be 3 times x of girls. So x (the boys) plus 3x (the girls) equal 48 (the total amount of students).

To solve this equation, first add x and 3x to get 4x. Then divide that by 48, and we get x = 2.

The amount of boys = x, so there are 12 boys.

The amount of girls = 3x, so there are 3 times 12, or 36 girls.

help................................................

Answers

Answer:

C. 16ft by 4ft

Step-by-step explanation:

Can someone help me solve This. Use photo as context. In exponential growth functions , the base of the exponent must be greater than 1. How would the function change if the base of the exponent were 1? How would the exponent change if the base of the exponent were between 0 and 1?

Answers

Answer:

If the exponent was 1, the function would remain constant but if the function was between 0-1 it would decrease towards the x-axis.

What is the estimate for 636,291 plus 280,329

Answers

Answer:

this is simple addition: 916620

Step-by-step explanation:

Answer:

637000 + 280000

Step-by-Step-Explanation:

This is probably the best estimate

a boat is 180 in Long in private plane is 85% longer than the boat how long is the plane

Answers

Answer:

The length of the plane is 333 in.

Step-by-step explanation:

Plane length = (1.85)(Boat length)      

The 0.85 in (1.85) above represents the added length; the (1.85) represents the length of the boat PLUS 0.85 time the length of the boat.

Plane length is (1.85)(Boat length) = 1.85(180 in) = 333 in

The length of the plane is 333 in.

What is 216/162 written as an improper fraction in simplest form?

6/4

4/3

3/2

Answers

Answer:

4/3

Step-by-step explanation:

216/162 216 is divisible by 54 and so is 162 so if you divide both by 54 you get 4/3

Answer:

4/3

Step-by-step explanation:

lowest terms is 4/3 e e e. e

NEED ANSWER ASAP!

Write an equation, in the form y = mx + b, that shows the linear relationship between the x and y values in the table.

Table: Below

Answers

Answer:

y = -5 + 2

Step-by-step explanation:

    We can use change in y over change in x to find slope:

[tex]\frac{y2-y1}{x2-x1} =\frac{-8--3}{2-1} =\frac{-8+3}{1} =-5[/tex]

So, our slope (aka m) is -5.

    For our b, or the y-intercept, we will need to find what value y is when x is 0. To do this, we will plug in a point for what we have so far, and then solve for b

y = -5x + b

-8 = -5(2) + b

-8 = -10 + b

2 = b

    And there is our equation,

y = -5 + 2

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

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