Final answer:
The composition of functions (g⋅f)(4) was calculated by first finding f(4) to be -64, then applying g to this result to get g(-64), which equals 9. The provided options do not match the calculated result, indicating a possible error in the question or options.
Step-by-step explanation:
The question asks to find the value of the composition of functions (g⋅f)(4), where f(x) = -x^3 and g(x) = |x/8-1|. To do this, we first evaluate f(4) and then apply g to the result.
Step 1: Evaluate f(4):
f(4) = -(4)^3 = -64
Step 2: Compute g(f(4)):
However, the values provided in the options do not match the calculated result, suggesting there may be a misunderstanding in the way the question was presented. Given the calculated result of 9 which doesn't match any of the provided options, rechecking the question or the provided options might be necessary.
Complete question:
Consider functions f(x)=−x^3 and g(x)=|x/8-1|. What is the value of (g⋅f)(4)? A) −1/8 B) 1/8 C) −1/64 D) 1/64