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

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

input is 2 if the output is 32

output is 256 if the input is 4

Explanation:

answer

Answer 2

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.