Question

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

Answer 1

Given:

`\begin{gathered} f(x)=(x-7)/(x) \\ g(x)=x^2+8 \end{gathered}`

Therefore,

`\begin{gathered} (g\circ f)(-1)=g(f(x))(-1)=((x-7)/(x))^2+8=((-1-7)/(-1))^2+8=((-8)/(-1))^2+8=64+8 \\ (g\circ f)(-1)=72 \end{gathered}`

Hence, the answer is

`(g\circ f)(-1)=72\text{ \lparen Option 5\rparen}`