For , the function is defined by . Determine…

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

Problem

For x≠15x\neq \dfrac15, the function ff is defined by f(x)=3x+25x−1f(x)=\dfrac{3x+2}{5x-1}. Determine f−1(x)f^{-1}(x). (a) 5x−13x+2\dfrac{5x-1}{3x+2} (b) x+25x+3\dfrac{x+2}{5x+3} (c) x+25x−3\dfrac{x+2}{5x-3} (d) x−25x−3\dfrac{x-2}{5x-3}

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