If f : R → R is defined by f (x) = (1 – x)1/3, the f –1 (x) equa – InterviewSolution

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If f : R → R is defined by f (x) = (1 – x)1/3, the f –1 (x) equals(a) (1 – x) –1/3 (b) (1 – x) 3 (c) 1 – x3 (d) 1 – x1/3

Answer»

Answer : (c) 1 – x³

Let y = f (x) = (1 – x)^1/3

⇒ y³ = 1 – x

⇒ x = 1 – y³

⇒ f^–1(x) = 1 – x³

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