Let f : R → R : f(x) = x^{2} + 1. Find f^{–1} {10}.

Given:

f : R → R : f(x) = x^{2} + 1

To find inverse of f(x)

Let y = f(x)

y = x^{2} + 1

y-1 =

x =

f^{–1} (x) =

Substituting x = 10,

f^{–1} (10) = = = 3