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4 years ago

If f(x)=3x-2 and g(x)= x^2+1, which expression is equivalent to f(g(x))

Mathematics

1 answer:

Serhud [2]4 years ago

7 0

The answer would be:
3x^2+1

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Find the requested function value.

liq [111]

Given:

Given that the functions $f(x)=9 x+5$ and $g(x)=-4x^2-6x+3$

We need to determine the value of the function $(f \circ g)(-9)$

First, we shall determine the value of the function $(f \circ g)(x)$

The value of the function $(f \circ g)(x)$ :

Let us determine the value of the function $(f \circ g)(x)$

Thus, we have;

$(f \circ g)(x)=f[g(x)]$

$=f(-4x^2-6x+3)$

$=9(-4x^2-6x+3)+5$

$=-36x^2-54x+27+5$

$(f \circ g)(x)=-36x^2-54x+32$

Thus, the value of the function is $(f \circ g)(x)=-36x^2-54x+32$

The value of the function $(f \circ g)(-9)$ :

The value of the function $(f \circ g)(-9)$ can be determined by substituting x = -9 in the function $(f \circ g)(x)=-36x^2-54x+32$

Thus, we have;

$(f \circ g)(-9)=-36(-9)^2-54(-9)+32$

$=-36(81)-54(-9)+32$

$=-2916+486+32$

$(f \circ g)(-9)=-2398$

Thus, the value of the function $(f \circ g)(-9)$ is -2398

Hence, Option A is the correct answer.

4 0

3 years ago

What value of z makes the equation z+6÷13=4 true?

netineya [11]

Answer:

z = 46/13

Step-by-step explanation:

Step 1: Write equation

z + 6 ÷ 13 = 4

Step 2: Solve for z

Rewrite: z + 6/13 = 4
Subtract 6/13 on both sides; z = 46/13

Step 3: Check

Plug in z to verify it's a solution.

46/13 + 6/13 = 4

52/13 = 4

4 = 4

6 0

4 years ago

The time is a quarter to 7 in the eveing write this is in 24 clock time

rewona [7]

This would be 6:45 PM, or 18:45 in 24 hour time.

Hope this helps :)

8 0

4 years ago

PLEASE ANSWER !! A rocket is launched from a tower. The height of the rocket, y in feet, is related to the

katovenus [111]

The fully correct answer is 12

3 0

3 years ago

List all the number sets to which 2/3 belongs

ludmilkaskok [199]

2/3 belongs to a set of

* Rational numbers

* Real numbers

* Complex numbers

all at the same time

5 0

3 years ago