Answer:
Option A. [tex]\frac{29}{4}[/tex]
Step-by-step explanation:
we have
[tex]f(x)=x^{2} +7[/tex]
[tex]g(x)=\frac{x+2}{x}[/tex]
we know that
[tex](fog)=(\frac{x+2}{x})^{2} +7[/tex]
Evaluate the expression for x=-4
[tex](fog)(-4)=(\frac{-4+2}{-4})^{2} +7[/tex]
[tex]=(\frac{1}{2})^{2} +7[/tex]
[tex]=(\frac{1}{4})+7[/tex]
[tex]=\frac{29}{4}[/tex]
