Let be given by

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

Problem

Let f:R∖{2}→R∖{0}f:\mathbb{R}\setminus\{2\}\to\mathbb{R}\setminus\{0\} be given by f(x)=1x−2f(x)=\dfrac{1}{x-2}. The inverse f−1(x)f^{-1}(x) is (a) f−1(x)=1x−2f^{-1}(x)=\dfrac{1}{x-2} (b) f−1(x)=1xf^{-1}(x)=\dfrac{1}{x} (c) f−1(x)=1x+2f^{-1}(x)=\dfrac{1}{x}+2 (d) f−1(x)=2−1xf^{-1}(x)=2-\dfrac{1}{x}

Related theory

Browse the problem library