RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 3. Functions

Subject: - Class 11th

Q. No. 6 of Exercise 3B

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6

If then show that f [f{f(x)}] = x.

Given:


Need to prove: f[f{f(x)}] = x


Replacing x by f(x),



⇒


Now again replacing x by f(x) we get,



⇒


⇒


⇒ [Proved]


1

Chapter Exercises

Exercise 3B
Exercise 3C
Exercise 3D
Exercise 3E
Exercise 3F
Exercise 3A

More Exercise Questions

1

If f(x) = x2 – 3x + 4 and f(x) = f(2x + 1), find the values of x.
2

If then show that

(i)


(ii)


3

If then show that

4

If then show that f{f(x)} = x.
5

If f(x) = and then prove that f{(x)} = , when it is given that .
6

If then show that f [f{f(x)}] = x.
7

If then show that f(tanθ) = sin 2θ.
8

If , prove that x = f(y).