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If f : R → R such that f(x) : (3 - x3)1/3 then prove that (fof) (x) = x. |
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Answer» Given, f(x) = (3 - x3)1/3 L.H.S. = fof(x) = f[f(x)] = f{(3 - x3)1/3} = 3 - {(3 - x3)1/3}1/3 = [3 - 3 + x3]1/3 = (x3)1/3 = x |
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