Precalculus · Problem 5.1.21

Further Topics in Functions — Stitz & Zeager

Mathematics — Precalculus · function-composition-formula-domain

Problem

Let f(x)=3x−1f(x) = 3x - 1, g(x)=1x+3g(x) = \dfrac{1}{x + 3}. 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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