Recall that to evaluate a function at a given value, we substitute the variable with the given value.
Evaluating g(x) at x=1 we get:
[tex]g(1)=7*1+5.[/tex]
Simplifying the above result we get:
[tex]g(1)=7+5=12.[/tex]
Evaluating f(x) at g(1) we get:
[tex]f(g(1))=(g(1))^2+g(1)-9.[/tex]
Substituting g(1)=12 in the above result we get:
[tex]f(12)=12^2+12-9.[/tex]
Simplifying the above result we get:
[tex]\begin{gathered} f(12)=144+12-9 \\ =147. \end{gathered}[/tex]
Answer: Second option.
