Answer :

We have

We know (fof)(x) = f(f(x))

As (fof)(x) = x = I_{x} (the identity function), f(x) = f^{-1}(x).

Thus,

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

Related Videos

Functions - 0152 mins

Inverse Trigonometric Functions - 0161 mins

Range of Functions58 mins

Functions - 0648 mins

Functions - 1156 mins

Functions - 0947 mins

Battle of Graphs | various functions & their Graphs48 mins

Functions - 0253 mins

Functions - 0840 mins

Functions - 0361 mins

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

RELATED QUESTIONS :

Let f :R → R be given by f (x) = tan x. Then f^{–1} (1) is

| Let * be a binary operation on Q defined by

Show that * is commutative as well as associative. Also find its identity elements, if it exists.

Mathematics - Board PapersFind the identity element in the set Q + of all positive rational numbers for the operation * defined by for all a, b ∈ Q +.

Mathematics - Board PapersLet f : A → B and g : B → C be the bijective functions. Then (g o f)^{–1} is