Precalculus · Problem 5.1.24

Further Topics in Functions — Stitz & Zeager

Mathematics — Precalculus · function-composition-formula-domain

Problem

Let f(x)=2xx2−4f(x) = \dfrac{2x}{x^2 - 4}, g(x)=1−xg(x) = \sqrt{1 - x}. Find and simplify expressions for the following functions and state the domain of each using interval notation: • (g∘f)(x)(g \circ f)(x) • (f∘g)(x)(f \circ g)(x) • (f∘f)(x)(f \circ f)(x)

Related theory

Browse the problem library