See Below
Step-by-step explanation:
Given f(x) = x2, g(x) = x + 3
a. g(f(5)) = g(5^2) = g(25) = 25 + 3 = 28
b. f(g(5)) = f(5+3) = f(8) = 8^2 = 64
c. f(g(x)) = f(x+3) = (x+3)^2 = (x+3)(x+3) = x^2 + 18x + 9
d. g(f(x)) = g(x^2) = x^3 +3x^2
e. g (f(βx + 3)) = g((βx + 3)^2) = (βx + 3)(βx + 3) = x + 3βx + 3βx + 9 =
x + 6βx +9