Question

Type the correct answer in each box, Spell all words correctly, and use numerals instead of words for numbers. If necessary, use / for
the fraction bars)
The function below has an input, x, and produces a specific output c. f(x)=4x^3=c

Answer 1

Given function:

$f(x)=4 x^{3}=c$

To find:

The input if the output is 32.

The output if the input is 4.

Solution:

Input is x and output is c.

Substitute c = 32 in f(x).

$4 x^{3}=32$

Divide by 4 on both sides, we get

$x^{3}=8$

$x^{3}=2^3$

Taking cube root on both sides.

$x=2$

The input is 2 if the output is 32.

Substitute x = 4 in f(x).

$4 (4)^{3}=c$

$4 (64)=c$

$256=c$

The output is 256 if the input is 4.

Answer 2

Answer:

So, x = [(1/4)c]1/3

input is 2 if the output is 32

output is 256 if the input is 4

Step-by-step explanation:

answer