Question

For the given functions f and g, find the requested composite function.

Answer 1

\[f(x)=\frac{x-2}{8}\]
\[g(x)=8x+2\] first function says "subtract 2, divide by 8"
second one says " multiply by 8, subtract 2"

therefore one is the inverse of the other, meaning
\[f\circ g(x)=x\]

Answer 2

you can check as
\[g\circ f(x)=g(f(x))=g(\frac{x-8}{2})=8\times \frac{x-2}{8}+2=x-2+2=x\]