Hi there! Thank you for the opportunity to help you with your question!

When we have a function g(x) = 5 - 3*x^2, what we are actually saying is that wherever you see the value "x", you should replace by the value inside the parenthesis. That is if I asked you what was g(y), it would be 5-3y^2, if I asked for g(397) = 5-3(397)^2.

In your problem, they ask for g(-2), which means we have to plug in (-2) wherever you see an x.

g(-2) = 5 - 3* (-2)^2 = 5 - 3*(4) = 5 - 12 = -7.

Now for the second part, we need to plug in (a+2) wherever we see an x:

g(a+2) = 5 - 3*(a+2)^2

We could simplify the expression a little bit more, by using FOIL to multiply out the squared term: