The value of (g · f)(4) is found to be 9.
What is a function?
A function is a kind of relation in which the domain(x) has one and only one image in the range(y).
What is a composite function?
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))
- In the given problem, we must find (g · f)(4). This is the same as g(f(4)).
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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