Let be defined by

MATHEMATICS · Subjective · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let f:R→Rf:\mathbb R\to\mathbb R be defined by f(x)=3x−4f(x)=3x-4. Denote its inverse by f−1f^{-1}. (i) Find f−1(x)f^{-1}(x). (ii) Without expanding unnecessary intermediate results, evaluate f−1(f(f−1(7)))f^{-1}\bigl(f\bigl(f^{-1}(7)\bigr)\bigr) and justify each step used in the simplification.

Related theory

Browse the problem library