Let f : R → R : f(x) = x2 + 1. Find f–1 {10}. – InterviewSolution

InterviewSolution

1.

Let f : R → R : f(x) = x2 + 1. Find f–1 {10}.

Answer»

Given:

f : R → R : f(x) = x² + 1

To find inverse of f(x)

Let y = f(x)

y = x² + 1

y -1 = x²

x = \(\sqrt{y-1}\)

f^-1 (x) = \(\sqrt{x-1}\)

Substituting x = 10

f^–1 (10) = \(\sqrt{10-1}\) = √9 = 3

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