Let , (defined for )

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

Problem

Let p(x)=x−4p(x)=x-4, g(x)=1xg(x)=\dfrac{1}{x} (defined for x≠0x\neq0), and f(x)=x2f(x)=x^{2} restricted to x>0x>0 so that it is invertible. If h=f∘g∘ph = f\circ g \circ p, find h−1(x)h^{-1}(x).

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