RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 3. Functions

Subject: Maths - Class 11th

Q. No. 6 of Exercise 3F

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6

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

Given:


f : R R : f(x) = x2 + 1


To find inverse of f(x)


Let y = f(x)


y = x2 + 1


y-1 =


x =


f–1 (x) =


Substituting x = 10,


f–1 (10) = = = 3


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