For the function defined by

MATHEMATICS · Multi-part · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

For the function f:(0,∞)→Rf:(0,\infty)\to\mathbb{R} defined by f(x)=2ln⁡x+5f(x)=2\ln x+5, answer the following: (a) Find f−1(x)f^{-1}(x). (b) Verify that f−1(f(x))=xf^{-1}\bigl(f(x)\bigr)=x for all x>0x>0.

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