Precalculus · Problem 5.1.12

Further Topics in Functions — Stitz & Zeager

Mathematics — Precalculus · function-composition-evaluation

Problem

Let f(x)=2x+5f(x) = \sqrt{2x + 5}, g(x)=10xx2+1g(x) = \dfrac{10x}{x^2 + 1}. Find the following values if they exist: • (g∘f)(0)(g \circ f)(0) • (f∘g)(−1)(f \circ g)(-1) • (f∘f)(2)(f \circ f)(2) • (g∘f)(−3)(g \circ f)(-3) • (f∘g)(12)(f \circ g)\left(\frac{1}{2}\right) • (f∘f)(−2)(f \circ f)(-2)

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