Problem 1: Let f(x) = x 2 and g(x) = 1 + x. Find and simplify the indicated composite function. Also, state the domain of the composite function.

(f g)(x)

Problem 2: Let f(x) = |x| and g(x) = x 3 + 1. Find the following value if it exists:

(f g)(1)

Problem 3: Let f(x) = 4 2x and g(x) = |x + 2|. Find the following value if it exists:

(f g)(1)