Consider functions f and g.





What is the value of ?

A.

B.

C.

D.

Answer:

Step-by-step explanation:

(g∘f)(4) = g(f(4))

= g(-4³)

= g(-64)

= | ⅛(-64)-1 |

= | -8-1 |

= 9

The value of (g · f)(4) is found to be 9.

A function is a kind of relation in which the domain(x) has one and only one image in the range(y).

A composite function is a kind of function that combines two functions in the order in which it is written.

(g ·f)(x) = g(f(x))

We have to f(4) and substitute that g(x).

f(x) = -x³

f(4) = -64

[tex]g(x) = \left| \frac{1}{8} x-1 \right|\\\Rightarrow g(f(x))= \left| \frac{-64}{8}-1 \right|\\=\left| -8-1 \right|\\=\left| -9\right|\\=9[/tex]

Thus, we have found the value of (g · f)(4) to be 9. The correct answer is option C.

Learn more about composite functions here-https://brainly.com/question/10687170

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