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MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Suppose f(x)=3x+5f(x) = 3x + 5 and g(x)=2x2−xg(x) = 2x^2 - x . (1) Find in simplest form: i (f∘g)(x)(f \circ g)(x) ii (g∘f)(x)(g \circ f)(x) (2) Hence solve 3(f∘g)(x)=(g∘f)(x)3(f \circ g)(x) = (g \circ f)(x) .

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