does anyone know what the answer is?

Alright, what you have here is a piecewise-defined function.
Let's look at each value one at a time:
-5 >> -5 =/= -1 so
g(-5) = -1/4(-5)^2 + 5
g(-5) = -1/4(25) + 5
g(-5) = -6.25 + 5
g(-5) = -1.25
-1 >> -1 == -1 so
g(-1) = -1
4 >> 4 =/= -1 so
g(4) = -1/4(4)^2 + 5
g(4) = -1/4(16) + 5
g(4) = -4 + 5
g(4) = 1
G(-5, -1, 1 = -1.25, -1, 1) respectively.