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Need solution for RD Sharma Class 12 Chapter Functions Exercise 2.3 Question 3 maths textbook solution.

Answers (1)

Given : Here given that f(x)=\left | x \right |

To prove : Here we have to prove that

                f\; o\; f=f

Solution :

Here we have to compute

f\; o\; f (x)

We have ,

\begin{aligned} &(f \circ f)(x)=f(f(x)) \\ &=f(|x|) \\ &=|| x|| \\ &=|x| \\ &=f(x) \end{aligned}

So, (f \circ f)(x)=f(x) \forall x \in R

Hence, f\; o\; f=f

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