Somebody help me on this algebra question please?

Question

If f(x) = x^2 and g(x) = x 2, find f[g(x)]

a. x^2 2

b. x^2 4x 4

c. x^2 x 2

d. x^2 - x 2

Answer 1

f(x) = x²

g(x) = x + 2

f(g(x)) =

f(x + 2) =  ...replace 'x' in f(x) with (x + 2)

(x + 2)² =

(x + 2)(x + 2) = use FOIL to expand this

x² + 2x + 2x + 4 =

x² + 4x + 4

Answer:  b

Hope this helps you!