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  4. If f :R → R be mapping defined by f(x) = x3 +5 then f -1(x) is equal to

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Q. If $ f :R \to R $ be mapping defined by $ f(x) = x^3 +5 $ then $ f ^{-1}(x) $ is equal to

MHT CETMHT CET 2007

Solution:

Let $y =f(x)=x^{3}+5$
$ \Rightarrow x =(y-5)^{1 / 3} $
$ \therefore f^{-1}(x) =(x-5)^{1 / 3}$