Question

sec 3.4 combination and composition of functions: problem 9 (1 point) if the function h is defined by h(x)=(x - 6)^3, and h is expressed in the form f ∘ g with f(x)=x^3, then find a formula for the function g. g(x)= you have attempted this problem 0 times. you have unlimited attempts remaining.

Explanation:

Step1: Recall composition of functions

The composition \(f\circ g(x)=f(g(x))\). Given \(f(x) = x^{3}\) and \(h(x)=(x - 6)^{3}=f(g(x))\).

Step2: Identify \(g(x)\)

Since \(f(g(x))=(g(x))^{3}=(x - 6)^{3}\), then \(g(x)=x - 6\).

Answer:

\(x - 6\)