Let g(x) = root of 4x and f(x) = 3x^3 + 8x^2 , what is the expression of the compound h(x) = g(f(x)) ?​

Answers

Answer 1

h(x) = g(f(x))

Take f(x) and plug it into g(x).

g(f(x)) = sqrt{4x}

g(f(x)) = sqrt{4(3x^3 + 8x^2)}

g(f(x)) = sqrt{12x^3 + 32x^2}

We are done.

Answer:

h(x) = sqrt{12x^3 + 32x^2}

Answer 2

The composite function as shown is [tex]g(f(x)) =\sqrt{12x^3+32x^2}[/tex]

Composite functions

Given the following fnctions

[tex]f(x) = 3x^3 + 8x^2\\g(x) = \sqrt{4x}[/tex]

The composite function g(f(x)) is expressed as:

[tex]g(f(x)) =g(3x^3 + 8x^2)\\g(f(x) )=\sqrt{4(3x^3 + 8x^2)} \\g(f(x)) =\sqrt{12x^3+32x^2}[/tex]

Hence the composite function as shown is [tex]g(f(x)) =\sqrt{12x^3+32x^2}[/tex]

Learn more on composite function here: https://brainly.com/question/10687170


Related Questions

what the first 3 prime numbers greater than 12

Answers

Answer:
13 17 and 19
Answer:

13, 17 and 19

Brody worked 8.5 hours at Food Lion this week and made $78.20. Based on the number of hours Brody worked and how much he was paid, how much money does Brody make per hour

Answers

Answer:

1 hour = $9.2

Step-by-step explanation:

The question says that:

Brody makes $78.20 in 8.5 hours.

So,

8.5 hours = $78.20

We need to find 1 hour pay.

So, divide both sides of the above equation by 8.5

8.5 / 8.5 hours = $78.20 / 8.5

1 hour = $9.2

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

What is the value of x?

Answers

Answer:x = 2Step-by-step explanation:

We know that the triangle is an isosceles triangle because the base angles are the same.

=> 4x - 1 = x + 5=> 4x - x = 1 + 5=> 3x = 6=> x = 6/3 = 2Conclusion:

Therefore, the answer is 'x = 2'

Hoped this helped.

[tex]BrainiacUser1357[/tex]

What is the distance from 5,1 and 2,1

Answers

Use this rule it will help

Answer:

2.0

Step-by-step explanation:

This question has 3 parts: subject (distance), and numbers (5.1 and 3.1).

Distance means subtraction. Between means to 5.1 and 3.1 .

So 5.1 - 3.1 = 2.0

if you have 6 apples and you give 2 apples to Ciara how many apples do you have? (hint you don't have friends)

Answers

Answer:

4

Step-by-step explanation:

6 - 2 = 4

Answer:

4

Step-by-step explanation:

Ciara is not my friend but she's my sister

What’s the figure name

Answers

Answer:

Line GH or Line HG

Step-by-step explanation:

Hope it help !!

Answer:

line segment

Step-by-step explanation:

a point to a point which makes a straight line is called a line segment

PLS HURRY!!! NO LINKS, NO STEALING POINTS, AND NO USELESS ANSWERS OR YOU WILL BE REPORTED!!!!!!

What type of triangle is this?

Answers

Answer:

It's an obtuse Scalene Triangle

Step-by-step explanation:

Look up triangle angle calculator and enter in the sides

You are selling candy for $2 each and burgers for $5 each. You have a budget for $150. The equation for this situation can be written as 2x+5y=150

Find the x intercept and y intercept. Show all work.

If you are selling 0 burgers, how many candies did you sell? Show your work.







If you are selling 0 burgers, how many candies did you sell? Show your work.



Answers

30 burgers because 5 x 30=$150

A worker earns $30 every 4 hours. How much would the worker earn in 19 hours?

Answers

Step-by-step explanation:

30/4 = 7.5 per hour

now,

7.5 × 19 = 142.5

$142.5

Answer:

$142.50

Step-by-step explanation:

30 divide by 4 = 7.5

So each hour the worker would earn $7.50

7.5 x 19= The worker will earn 142.50 after working 19 hours.



Select all of the phrases that could be
represented by the algebraic expression
3n - 3
This doesn’t make sense

Answers

The phrases that can be represented as the algebraic expression, 3n - 3 are: Option 3 and Option 5.

Let's translate each of the given phrases to algebraic expressions in order to determine which of them can be represented as 3n - 3.

Option 1:

3 fewer than n is represented as, n - 3

Option 2:

difference between n and 3 is represented as, n - 3.

Option 3:

3 times n is 3n

3 fewer than 3n is represented as 3n - 3.

Option 4:

product of 3 and n is represented as 3n.

Option 5:

3 less than 3n is represented as 3n - 3.

Therefore, the phrases that can be represented as the algebraic expression, 3n - 3 are: Option 3 and Option 5.

Learn more about algebraic expression on:

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Smallest Positive fraction

Answers

Answer: 1/5?

Step-by-step explanation:

NO LINKS PLS
The ratio of sugar to flour used in a pudding recipe is 2:1. Which figure shows equivalent ratios?


A graph is drawn. The title is Pudding Recipe. The axis label is Sugar in cups. The x axis values are 0, 2, 4, 6, 8, 10, 12. The y-axis label is Flour in cups. The y axis values are 0, 1, 2, 3, 4, 5, 6. Points are plotted on the ordered pairs 1,2 and 2,4 and 3,6.


A graph is drawn. The title is Pudding Recipe. The axis label is Sugar in cups. The x axis values are 0, 2, 4, 6, 8, 10, 12. The y axis label is Flour in cups. The y axis values are 0, 1, 2, 3, 4, 5, 6. Points are plotted on the ordered pairs 2,2 and 4,3 and 6,4.


A graph is drawn. The title is Pudding Recipe. The x axis label is Sugar in cups. The x axis values are 0, 2, 4, 6, 8, 10, 12. The y axis label is Flour in cups. The y axis values are 0, 1, 2, 3, 4, 5, 6. Points are plotted on the ordered pairs 2,1 and 4,2 and 6,3.


A graph is drawn. The title is Pudding Recipe. The axis label is Sugar in cups. The x axis values are 0, 2, 4, 6, 8, 10, 12. The y axis label is Flour in cups. The y axis values are 0, 1, 2, 3, 4, 5, 6. Points are plotted on the ordered pairs 2,2 and 4,4 and 6,6.

Answers

Answer:

Answer #3

Step-by-step explanation:

The ratio of sugar to flour is 2:1, so the x values need to be twice as big as the y values in the points.

Find the greatest common factor. 54,81

Answers

27 is the greatest common factor

54: 1, 2, 3, 6, 9, 18, 27, and 54

81:  1, 3, 9, 27, and 81

To make a sports drink, Tommy puts 2 liters of water in a pitcher along with 4 ounces of sports drink additive. How much liquid is now in the pitcher, in ounces?


1 liters = 33.81 ounces

Answers

Answer:

71.62

Step-by-step explanation:

2 liters = 2(33.81) ounces or 67.62 oz

4 more ounces were added

new total is 71.62 oz

Please help, I will mark brainliest :)

Answers

Answer:

Its A $0.50 per mile

Step-by-step explanation:

The diameter of a circle is 8 mm. What is the circumference of the circle?

Answers

Answer:

C=22÷7×8

=3.14×8

=25.12

FOR BRAINLIEST

А is equivalent to 0.001 grams.

milligram

kilogram

decigram

Answers

Answer:

one milligram

Step-by-step explanation:

Answer:

milligram

Step-by-step explanation:

1,000 mg = 1 g

1 mg = .001 g

this is for 8th grade pls answer .​

Answers

Step-by-step explanation:

We have that

[tex](x + \frac{1}{x} ) {}^{2} = 3[/tex]

We are trying to find the number value so that we can apply in the later equation.

Qe first simplify.

Remeber that

[tex](a + b) {}^{2} = a {}^{2} + 2ab + {b}^{2} [/tex]

Also remeber that

[tex] \frac{1}{x} = {x}^{ - 1} [/tex]

so

[tex](x + x {}^{ - 1} ) {}^{2} = {x}^{2} + 2x {}^{0} + {x}^{ - 2} = 3[/tex]

We then simply remeber that x^0=1 so

[tex] {x}^{2} + 2 + \frac{1}{ {x}^{2} } = 3[/tex]

Multiply both sides by x^2.

[tex] {x}^{4} + 2 {x}^{2} + 1 = 3 {x}^{2} [/tex]

Subtract both sides by 3x^2

[tex] {x}^{4} - {x}^{2} + 1 = 0[/tex]

Notice that x^4= (x^2)^2.

So our reformed equation is

[tex]( {x}^{2} ) {}^{2} - {x}^{2} + 1 = 0[/tex]

Let a variable , w equal x^2. This means that we subsitute variable, w in for x^2.

[tex]w {}^{2} - w + 1 = 0[/tex]

Now we use the quadratic formula

[tex] w = \frac{ - b + \sqrt{b {}^{2} - 4ac } }{2a} [/tex]

and

[tex]w = - b - \frac { \sqrt{b {}^{2} - 4ac } }{2a} [/tex]

Let a=1 b=-1 and c=1.

[tex]w = \frac{1 + \sqrt{1 - 4(1)} }{2} [/tex]

[tex]w = \frac{1 - \sqrt{1 - 4} }{2} [/tex]

Now, we get

[tex]w = \frac{1}{2} + \frac{i \sqrt{3} }{2} [/tex]

and

[tex]w = \frac{1}{2} - \frac{ i\sqrt{3} }{2} [/tex]

Now since we set both of these to the x^2 we solve for x.

and

[tex] {x}^{2} = \frac{1}{2} + \frac{i \sqrt{3} }{2} [/tex]

and

[tex] {x}^{2} = \frac{1}{2} - \frac{i \sqrt{3} }{2} [/tex]

We can represent both of these as complex number in the form of a+bi. Next we can convert this into trig form which is

[tex] {x}^{2} = 1( \cos(60) + i \: \sin(60) [/tex]

and

[tex] {x}^{2} = 1( \cos(300) + i \: sin(300))[/tex]

Next we take the sqr root of 1 which is 1, and divide the degree by two.

[tex] {x} = 1( \cos(30) + i \: sin \: 30)[/tex]

and

[tex]x = 1( \cos(150) + i \: sin(150)[/tex]

We are asked for the 2nd root so just add 180 degrees to this and we have

[tex]x = 1 \cos(210) + i \: sin \: 210)[/tex]

and

[tex]x = 1( \cos(330) + i \: sin(330)[/tex]

which both simplified to

[tex]x = - \frac{ \sqrt{3} }{2} - \frac{1}{2} i[/tex]

and

[tex]x = \frac{ \sqrt{3} }{2} - \frac{1}{2} i[/tex]

Now we must find

x^18+x^12+x^6+1.

We just use demovire Theorem. Which is a complex number raised to the nth root is

[tex] {r}^{n} (cos(nx) + i \: sin(nx)[/tex]

So let plug in our first root.

[tex]1( \cos(330 \times 18)) + i \: sin \: (330 \times 18))) + 1( \cos(12 \times 330)) + i \: sin(12 \times 330) + 1( \cos(6 \times 330) + i \: sin(6 \times 330))) + 1[/tex]

To save time we multiply the angle and use rules of terminals angle and we get

[tex]1( \cos(180) + i \sin(180) ) + 1( \cos(0) + i \: sin \:( 0) + 1( \cos(180) + i \: sin(180) + 1[/tex]

And we get

[tex] - 1 + 1 + - 1 + 1 = 0[/tex]

So one of the answer is x=0

And the other, let see

[tex]1 \cos(210 \times 18) + i \: \sin(210 \times 18) + 1 \: cos(210 \times 12) + i \: sin(210 \times 12) + 1 \cos(210 \times 6) + \:i sin(210 \times 6) + 1[/tex]

[tex] \cos(180) + i \: sin(180) + 1 \cos(0) + i\sin(0) +1( \cos(0) + i \sin(0) + 1[/tex]

We get

[tex] - 1 + 1 + 1 + 1 = 2[/tex]

So our answer are 2.

So the answer to the second part is

0 and 2.

Can someone help me with this?

Answers

Step-by-step explanation:

the average rate of change is

(f(x2) - f(x1)) / (x2 - x1)

(a)

(f(4) - f(-6)) / (4 - -6) = (3 - 1) / (4 + 6) = 2 / 10 = 1/5

(b)

(f(2) - f(-2)) / (2 - -2) = (-1 - -3) / (2 + 2) = (-1 + 3) / 4 = 2/4 = 1/2

Does anybody know what Savvas is? cause I don't know the answer to 6.4 x 3.7 can anybody help.

Answers

Answer: I'm not sure what Savvas is, but the answer to your second question is 23.68.

Step-by-step explanation: This can be solved using the stacking method of multiplication, like so:

6.4

x3.7

You would multiply this equation as if there are no decimals, (first doing 7x4, and then 7x6 + 2, then adding a zero to your ones place at the bottom, and doing 3x4, the 3x6 + 1), to get 2348. You then would add the decimals in by moving over 2 places to the left.

Find the value of y.

Answers

The value of the variable 'y' will be square root 21 that is √21.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The ratio of the corresponding sides of a similar triangle remains constant. Then the equation is given as,

y / 3 = 7 / y

Simplify the equation, then we have

y / 3 = 7 / y

y² = 21

y  = √21

The value of the variable 'y' will be square root 21 that is √21.

More about the triangle link is given below.

https://brainly.com/question/25813512

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Rupert bought a watch for 7 dollars and 58 cents and sold it for 37 dollars and 90 cents, what is the ratio of selling price to cost price in its simplest form ?​

Answers

Answer:

5 : 1

Step-by-step explanation:

Selling price = 37.90

Cost price = 7.58

Selling price : cost price = 37.90 : 7.58

When simplifying, we can first check if one number is a factor of the other:

7.58 * 3 = 22.74

7.58 * 4 = 30.32

7.58 * 5 = 37.9

Perfect. Therefore, selling price = 5 * cost price and selling price: cost price = 5:1

Find the slope of the line below. Enter your answer as a fraction or decimal.
Use a slash mark (/) as the fraction bar if necessary.
5
|(2, -1) 5
(-2,-3)
2

Answers

Answer:

The slope is 2/4 or 1/2

Step-by-step explanation:

The figure below shows the number of dots in each of the first four terms of a pattern.

image 3946d177031641899e8a9055b29f185e

Which of these can be used to determine
N
, the number of dots, given
t
, the number of the term in the pattern?


N
=
4
(
t

1
)

N = 4 ( t − 1 )

N
=
3
t
+
1

N = 3 t + 1

N
=
3
(
t

1
)
+
1

N = 3 ( t − 1 ) + 1

N
=
3
t
+
2

Answers

Answer:

there is nothing just a a codding log

Step-by-step explanation:

please help me asap


ty :)

Answers

Answer:

y = -1/7x + 1

Step-by-step explanation:

Subtract 3x both sides

21y = 21 - 3x

Divide by 21 both sides

y = 1 - 1/7x

y = -1/7x + 1

how do you write 8.16 × 101 in standard form?

Answers

Help me and mark as brainliest plz

A bicycle store costs $2550 per month to operate. The store pays an average of $45 per bike. The average selling price of each bicycle is $75. How many bicycles must
the store sell each month to break even?

Answers

Answer:

3750

Step-by-step explanation:

2250/45=50

50x75=3750

The art club had an election to select a president. 100% of the 31 members of the club voted
in the election. How many members voted?

Answers

Answer:

31

Step-by-step explanation:

1. Nathan bought a bicycle for $230 at an auction. He fixed it up and sold it at a 30% markup. How much did
Nathan sell the bike for?

Answers

If you are marking off a price that means you are ADDING to your final price because Nathan needs a profit for his bike. So to find the final price let’s add 30% of the original price to the final price by multiplying 230 by 0.30 which equals to 69 so then we add 69 to 230 which will be 299. So our final price is $299 dollars with the markup.

Nathan bought a bicycle for $230 at an auction. Nathan sells the bike for $299 at a 30% markup.

What is the percentage?

A percentage is a minimum number or ratio that is measured by a fraction of 100.

Nathan bought a bicycle for $230 at an auction. He fixed it up and sold it at a 30% markup.

So, the markup price, we get

30% of $230

= 30/100 x 230

= 3 x 23

= 69

Total selling price = 230 + 69

                             = 299

Thus, Nathan sells the bike for $299.

Learn more about percentages;

https://brainly.com/question/23111313

A hen costs $4 and chicks are sold at 3 for $2. A farmer paid $100 exactly for 80 of these birds. How many of each type did he buy?​

Answers

Answer:

Above is the answer, coupled with a detailed step-by-step explanation. Thank you!

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