Question

Looking to evaluate the function for the given value of x.

Answer 1

we have the following:

`\begin{gathered} f\mleft(x\mright)=x^2+4x \\ g\mleft(x\mright)=4x+4 \end{gathered}`

calculate:

`\begin{gathered} (g\circ\: f)=4\cdot(x^2+4x)+4 \\ (g\circ\: f)=4x^2+16x+4 \\ \mleft(g\circ f\mright)\mleft(-1\mright)=4(-1)^2+16(-1)+4=4+-16+4 \\ (g\circ f)(-1)=-8 \end{gathered}`

The answer is the third option