Let f(x) = x2, g(x) = x + 3.
a. g(f(5))
b. f(g(5))
c. f(g(x))
d. g(f(x))
e. g (f(√x + 3))

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(√x + 3)) = g((√x + 3)^2) = (√x + 3)(√x + 3) = x + 3√x + 3√x + 9 =

x + 6√x +9

3x^3-x^2+6x-9

the answer to the question is a  

it has the same slope and the same y-intercept.