Let f:R+→[9,∞) given by f(x)=x^2+9. Find the inverse of f.(a) \(\sqrt{x-9}\)(b) \(\sqrt{9-x}\)(c) \(\sqrt{x^2-9}\)(d) x^2+9This question was addressed to me during an interview.This key question is from Composition of Functions and Invertible Function in section Relations and Functions of Mathematics – Class 12

Let f:R+→[9,∞) given by f(x)=x^2+9. Find the inverse of f.(a) \(\s

1.	Let f:R+→[9,∞) given by f(x)=x^2+9. Find the inverse of f.(a) \(\sqrt{x-9}\)(b) \(\sqrt{9-x}\)(c) \(\sqrt{x^2-9}\)(d) x^2+9This question was addressed to me during an interview.This key question is from Composition of Functions and Invertible Function in section Relations and Functions of Mathematics – Class 12
Answer» Correct answer is (a) \(\sqrt{X-9}\) For EXPLANATION: The FUNCTION F(x)=x^2+9 is bijective. Therefore, f(x)=x^2+9 i.e.y=x^2+9 x=\(\sqrt{y-9}\) ⇒f^-1 (x)=\(\sqrt{x-9}\).

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