For the function defined by

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

For the function f:R→Rf:\mathbb{R}\to\mathbb{R} defined by f(x)=4x−7f(x)=4x-7, which of the following functions is its inverse? (a) f−1(x)=x−74f^{-1}(x)=\dfrac{x-7}{4} (b) f−1(x)=4x+7f^{-1}(x)=4x+7 (c) f−1(x)=x+74f^{-1}(x)=\dfrac{x+7}{4} (d) f−1(x)=7−x4f^{-1}(x)=\dfrac{7-x}{4}

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