Question

Please help me I bought this app and I can’t find any tutors

Answer 1

Notice that:

$\begin{gathered} f(g(x))=f(8-x^2)=5(8-x^2)+5 \\ g(f(x))=g(5x+5)=8-(5x+5)^2 \end{gathered}$

Therefore:

$\begin{gathered} f(g(0))=5(8-0^2)+5=5\cdot8+5=45 \\ g(f(0))=8-(5\cdot0+5)^2=8-5^2=-17 \end{gathered}$