Let

Question

f(x) = x + 2
and
g(x) = x2 − 2.
Determine the domain of the composite function.

Answer 1

(Enter your answer using interval notation.)

f compose f

Answer 2

Whether you want f(g),g(f),f(f) or g(g), the composite will be a polynomial. The domain of all polynomials is (-∞,∞)