Let the function be defined by

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

Problem

Let the function ff be defined by f(x)=2x+11−3xf(x)=\frac{2x+1}{1-3x}. Then f−1(x)f^{-1}(x) is (a) x−13x+2\frac{x-1}{3x+2} (b) 3x+2x−1\frac{3x+2}{x-1} (c) x+13x−2\frac{x+1}{3x-2} (d) 2x+11−3x\frac{2x+1}{1-3x}

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