Let , (domain )

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Let f(x)=x−4f(x)=x-4, g(x)=1xg(x)=\dfrac{1}{x} (domain R∖{0}\mathbb R\setminus\{0\}), and h(x)=x3h(x)=\sqrt[3]{x}. Determine the inverse function of the composition h∘g∘fh\circ g\circ f.

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