Precalculus · Problem 5.1.23

Further Topics in Functions — Stitz & Zeager

Mathematics — Precalculus · function-composition-formula-domain

Problem

Let f(x)=x2x+1f(x) = \dfrac{x}{2x + 1}, g(x)=2x+1xg(x) = \dfrac{2x + 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

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