Suppose and . Which of the following is…

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Suppose f−1(x)=x−53f^{-1}(x)=\dfrac{x-5}{3} and g−1(x)=1xg^{-1}(x)=\dfrac{1}{x}. Which of the following is (f∘g)−1(x)(f\circ g)^{-1}(x)? (a) 1−5x3x\dfrac{1-5x}{3x} (b) x−53\dfrac{x-5}{3} (c) 3x−5\dfrac{3}{x-5} (d) 3x−5\dfrac{3}{x}-5

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