Question

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

Answer 1

Given:

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

Therefore,

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

Hence, the answer is

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