Question

consider functions f and g. f(x) = -x^3g(x) = | 1/8x-1| what is the value of ( g • f)(4)a: -9b: -1/8 c: 9 d: 1/8

Answer 1

The solution:

Given the functions:

`\begin{gathered} f(x)-x^3 \\ \\ g(x)=|(1)/(8)x-1| \end{gathered}`

Required:

To find the value of g(f(4))

Step 1:

Substitute 4 for x in f(x).

`f(4)=-(4)^3=-64`

Step 2:

Substitute -64 for x in g(x).

`\begin{gathered} g(-64)=|(1)/(8)(-64)-1| \\ \\ g(-64)=|(1*-8)-1| \\ \\ g(-64)=|-8-1|=|-9|=9 \end{gathered}`

Therefore, the correct answer is 9 [option C]