The functions given in the question are
[tex]\begin{gathered} f(x)=x^2+4 \\ g(x)=x-5 \end{gathered}[/tex]
To calculate fog(x) we will have to substitue the value of x in f(x) to be x-5
[tex]\begin{gathered} \text{fog(x)}=(x-5)^2+4 \\ \text{fog(x)}=(x-5)(x-5)+4 \\ \text{fog(x)}=x^2-5x-5x+25+4 \\ \text{fog(x)}=x^2-10x+29 \end{gathered}[/tex]
The domain of a quadratic ifunction is a set of all real numbers, in interval notation, it is denoted as
[tex]\begin{bmatrix}\mathrm{Solution\colon}\: & \: -\infty\:
