Please help with thisss

B

Step-by-step explanation:

Let's take a look through each of the potential options and see whether they meet our requirements:

A. g(7) = -1

We're told at the beginning of the problem that our domain is restricted to the range [-20, 5]. Our input here, x = 7, is out of that range, which means it's not in the domain and can't be true for the function g.

B. g(-13) = 20

Unlike 7, -13 is in the domain of g since it's between -20 and 5. 20 is also in g's range, since it's between -5 and 45. B could be true for g. We have our answer at this point, but I'll point out why the other two are false, too.

C. g(0) = 2

We know from the question that g(0) = -2, so this is clearly false.

D. g(-4) = -11

-11 is less that -5, which means it lies outside the range of g.