Question 328901
We need to find g(5) first.

g(x) = x^2 + x

g(5) = (5)^2 + 5

g(5) = 25 + 5

g(5) = 30

We now find f(g(5)).  What is g(5)?  

We  just learned that it is 30.

In other words, g(5) = 30 and vice-versa.

f(g(5)) = -2(30) - 2

f(g(5)) = -60 - 2

f(g(5)) = -62

Did you follow?