Question

Consider functions fand g.

Answer 1

The value of (gof)(4) is 9 if the function f(x) is f(x) = -x³, and function g(x) is g(x) = |1/8x-1| option (B) is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

f(x) = -x³

$\rm g(x) = |\dfrac{1}{8}x-1|$

Plug x = 4 in the f(x)

f(4) = -4³ = -64

Plug the above value in the g(x)

$\rm g(x) = |\dfrac{1}{8}(-64)-1|$

g(f(4)) = |-8-1| = |-9| = 9

Thus, the value of (gof)(4) is 9 if the function f(x) is f(x) = -x³, and function g(x) is g(x) = |1/8x-1| option (B) is correct.

Learn more about the function here:

brainly.com/question/5245372

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