For with , (i) obtain the formula for , (ii) verify that…

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

Problem

For h(x)=2x−3x+4h(x)=\dfrac{2x-3}{x+4} with x≠−4x\neq-4, (i) obtain the formula for h−1(x)h^{-1}(x), (ii) verify that h−1(h(5))=5h^{-1}\bigl(h(5)\bigr)=5.

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