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  • If, f(x) = [4 – (x – 7)3], then f-1(x) = .............

If, f(x) = [4 - (x - 7)\textsuperscript{3}], then f\textsuperscript{-1}(x) = .............

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\\Here, f(x) = [4 - (x - 7)\textsuperscript{3}]\\ Say, y = [4 - (x - 7)\textsuperscript{3}]\\ Or, (x - 7)\textsuperscript{3} = (4 - y)\\ Or, (x-7) = (4-y)\textsuperscript{1/3}\\ Or, x = 7 + (4-y)\textsuperscript{1/3}\\ Therefore, f\textsuperscript{-1}(x) = 7 + (4 - x)\textsuperscript{1/3}\\

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