The function is defined by

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

Problem

The function f:[1,∞)→[0,∞)f:[1,\infty)\to[0,\infty) is defined by f(x)=x−1f(x)=\sqrt{x-1}. (a) Determine f−1(y)f^{-1}(y). (b) Show that (f∘f−1)(y)=y(f\circ f^{-1})(y)=y for every y∈[0,∞)y\in[0,\infty).

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