Express your answer as a polynomial in standard form.
f(x) = 3x² + 4x – 7
g(x) = 2x – 11
Find: g(f(x))

Answers

Answer 1

Answer:

g(f(x)) = 6x^2 + 8x - 25

Step-by-step explanation:

So, first we have to substitute f(x) into the place of x in the g(x). This will be shown as g(f(x)) (which is what we need to solve). Next, we have to substitute 3x^2 + 4x - 7 into the place of x in 2x - 11. We do this because we had to substitute f(x) into the place of x in g(x).

So this is how your equation should look, and then solve:

g(f(x)) = 2(3x^2 + 4x - 7) - 11

g(f(x)) = 6x^2 + 8x - 14 - 11

g(f(x)) = 6x^2 + 8x - 25   < ---- This is your answer

Hope this helps!


Related Questions

A function goes through the point (-5,2). What point is the inverse of this function guaranteed to go through ?

Answers

the inverse function just changes the coordinates

if f goes through (a,b), then f^-1 must goes through (b,a)

A square corner of 16 square centimeters is removed from a square paper with an area of 9x2 square centimeters. A square. Most of the square is shaded blue. In the bottom right of the square is a smaller square, outlined in a dashed line, and not shaded. Which expression represents the area of the remaining paper shape in square centimeters? (x – 7)(x – 9) (3x – 2)(3x – 8) (3x – 4)(3x + 4) (9x – 1)(x + 16)

Answers

Answer:

(3x - 4) (3x + 4)

Step-by-step explanation:

Area of the square paper = 9x^2 square centimeters

Area of the square corner = 16 square centimeters

The area of the square corner is removed from area of the square paper.

That is,

9x^2 - 16

Factorise by finding the square root of each term

9x^2

Square root of 9x^2 = 3x

Check:

3x * 3x = 9x^2

Square root of 16 = + or - 4

9x^2 - 16 = (3x - 4) (3x + 4)

Check:

(3x - 4) (3x + 4)

9x^2 + 12x - 12x - 16

= 9x^2 - 16

Answer:

hey guys lol its c on edg.

Step-by-step explanation:

Examine the equation.

–2(–x + 9) = 2(x – 9)

2x – 18 = 2x – 18

This equation has .

Answers

Answer:

B

Step-by-step explanation:

I took the Assignment

Answer:

b

Step-by-step explanation:

5^3 / 5^-3 oooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo

Answers

Answer: 5^3 / 5^-3 = 5^6 = 15,625

Step-by-step explanation:

Ok, you may find useful for problems like this the next two relations:

[tex]x^a*x^b = x^{a + b}[/tex]

[tex]x^a/x^b = x^{a - b}[/tex]

Now we have the equation:

5^3/5^-3

We have a quotient, then we need to use the second relationship, where:

x = 5

a = 3

b = -3

5^3/5^-3 = 5^(3 - (-3)) = 5^(3 + 3) = 5^6 = 15,625

What is 4÷3/5 Options:6 6 2/5 6 2/3 8​

Answers

Answer:

[tex]6\frac{2}{3}[/tex]

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

For 0.00001 what would the exponent be? 10^?

Answers

Answer:

would be 1

Step-by-step explanation:

you take 0.00001 and keep multiplying that by  your answer

HELP PLEASE!!! - Uranus is about 1.784109 miles from the Sun. About how far is Uranus from Mercury?

Answers

Answer:

About 1,749,638,696 miles.

Step-by-step explanation:

It might be incorrect so don't fully trust me.

6x + 1 = 6x - 8 what is the value of x

Answers

Answer:

No solution

Step-by-step explanation:

6x + 1 = 6x - 8

-6x        -6x

1 ≠ -8

Which expression is equivalent?

- 5(2x -3y +4)

Answers

Answer:

A

Step-by-step explanation:

How much cents are in 12 quarterS answer fast!!!!

Answers

Answer: 300 cents or 3 dollars

Step-by-step explanation: 12x25=300.

Answer:

300 CENTS

Step-by-step explanation:

hope this helps

5% of 59 is what number?

Answers

Answer:

2.95

Step-by-step explanation:

Answer:

Hello!!! erz here ^^

Step-by-step explanation:

2.95

5 x 59

-----------

100

= 2.95

How long is 75% of a 24-hour day?

Answers

Answer:

18 hrs

Step-by-step explanation:

6hrs is 25%, so 6 times 3 is 18, Hope This Helps!

75% of a 24-hour day is 18 hour.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

75% of a 24-hour day

let 75% of 24 hour day be x.

So, 75% of 24 = x

x= 75/100 x 24

x= 3/ 4 x 24

x= 18 hours

Hence, 75% of a 24-hour day is 18 hour.

Learn more about algebra here:

https://brainly.com/question/24875240

#SPJ2

I really need the answer to this plzzzzzz

Answers

Answer:

it may be c but im not usre

Step-by-step explanation:

Write an expression to represent the submarine’s elevation after its final dive. Then simplify the expression to find its elevation

Answers

Answer:

-502.5 − 115 = -617.5

The submarine’s elevation after its final dive is -617.5 feet, or 617.5 feet below sea level.

Step-by-step explanation:

Plato answer

Answer:

63 1/4

Step-by-step explanation:

I did the edmentum

Suppose it was –5 degrees Celsius at 6:00 a.m. By noon, the temperature had Increased by 11 degrees. What was the temperature at noon?​

Answers

Answer:

6

Step-by-step explanation:

11 - -5 = 6

The temperature at noon is 6 degrees Celsius.

Given

Suppose it was -5 degrees Celsius at 6:00 a.m.

By noon, the temperature had increased by 11 degrees.

What is temperature?

Temperature declines as altitude increases.

The temperature at noon is calculated by adding the morning temperature and temperature in the afternoon.

The temperature in noon = temperature at 6;00 a.m. + increase in temperature in afternoon.

The temperature in noon = -5 + 11

The temperature in noon = 6 degrees.

Hence, the temperature at noon is 6 degrees Celsius.

To know more about Temperature click the link given below.

https://brainly.com/question/22618350

Write the explicit formula for the arithmetic sequence 6, 8, 10, 12, . . . What is term number 46 in this sequence?
Answer:

Answers

Answer:

102

Step-by-step explanation:

Complete the statement relating solutions and roote

Answers

There as no problems to solve srry

Find all points on the y-axis that are 5 units from the point
(4,4).

Answers

Answer:

-4,9 , -4,-1 , 4,-1 , 4,9

Step-by-step explanation:

The y-axis is straight up and if you move down on the and moving up 5 is 9 and moving down 5 is -1 and depending if it's on the right of left (negative or positive) the x-axis is (the 4) is postive or negative.

5 tomatoes divided into $3.10

Answers

It would be .62 for one

Answer:

0.62

Step-by-step explanation:

3.1 divided by 5

.............................

Another term to represent Unit Rate is?
Constant of Proportionality
Slope
Rate of Change All of the Above
None of the Above

Answers

Answer:

All of the above.

Step-by-step explanation:

In a graph, the unit rate gives us the change in y for a unit change in x. That is, the unit rate is the rate of change in y when the change in x is 1.

Therefore, the unit rate is the same as the rate of change.

And the rate of change is synonymous with the slope.

The constant of proportionality is simply the slope/rate of change for proportional equations.

Therefore, the constant of proportionality is also another word for the unit rate.

Our answer is hence all of the above.

all of the above because they’re all different ways to say/describe unit rate

An eight ft board is cut into two pieces. One piece is 2 ft longer thant he other. How long are the pieces?

Answers

Answer: 6 ft and 2 ft

Step-by-step explanation:

Answer:

6ft and 2ft

Step-by-step explanation:

8ft board ÷ 2 pieces = 4ft each

4ft and 4ft boards. But one of them is longer by 2ft so:

4ft - 2ft = 2ft

4ft + 2 ft = 6ft

So, one piece is 2ft and the other piece is 6ft

Find the next number in the sequence: "-1, 1, 4, 8, 13, ..."

Answers

Answer:

19

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

because the more you go up the amount increases

Help me please ok thank you ._.

Answers

Answer:

its ur dad

Step-by-step explanation:

Question 4
Which of the following statements is true (read each carefully!):
.
The square root of 30 is between 6 and 7.
• The square root of 41 is between 5 and 6.
The square root of 14 is between 3 and 4.
• The square root of 27 is between 14 and 15.

Answers

The answer is : square root of 14 is between 3 and 4
√14= 3.74

Answer:

The square root of 14 is between 3 and 4.

Step-by-step explanation:

The answer would be that because the square root of 14 is  3.74165738677. HOPE THIS HELPS! CAN I HAVE BRAINLIEST?!

Question 4(Multiple Choice Worth 3 points)
(03.01)
Which of the sums below can be expressed as 8(2 + 7)?
O2 +56
O 10 + 15
O 16 + 7
O 16 + 56

Answers

Answer:

16+56

Step-by-step explanation:

8(2 + 7)

=8*2+8*7

16+56

8(2+7)=
8(9)=
72

the only answer that equals the same as 72 in the choices is the last one..

16+56=
72

Use the side lengths of triangle DEF and the fact that the triangles are similar to find the measure of angle E and type your answer below. (Note: Do NOT include a unit label in your answer.)

Answers

Answer:

Angle E = 65 degrees

Step-by-step explanation:

Since triangle DEF is similar to triangle BAC, angle E = angle A = 180 degrees - angle B - angle C = 180 degrees - 90 degrees - 25 degrees = 65 degrees

13 candy bars weigh 39 ounces.what is the weight of 25 candy bars

Answers

Answer:

75 ounces

Step-by-step explanation:

39/13=3  so each candy bar weighs 3 ounces each so 25*3=75

Answer:

75 ounces

Step-by-step explanation:

39 divided by the amount of candy bars (13) is 3. Which means each candy bar weighs 3 ounces. So 3 times 25 is 75.

HELP ASAP!!!!! I’ll give u brainlest

Answers

Answer:

first one (382,000)

Step-by-step explanation:

just multiply by 10^5

Answer:

382000

Step-by-step explanation:

3.82*100*1000=382*1000=382000

:((((((((((((((((((​

Answers

Answer:

132°

Step-by-step explanation:

Find the supplementary angle of 48°

To do this, subtract 48° from 180°

180 - 48 = 132°

Step-by-step explanation:

ABD = 180

[tex]180 - 48 = 132[/tex]

HELP ME PLS OMG -LS PLS PLS PLS ASAP ASAP PLS pls

Answers

Answer:

No, Yes, Yes

Step-by-step explanation:

no yes yes

(gl on your test or whatever)

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