functional equation

Find all solution of f(f(x))=x

11 Answers

1
kunl ·

f=f-1

1
Vinay Arya ·

Which books do you read ut?

1
kunl ·

@vinay
and y did u ask him tht?

1
Vinay Arya ·

These types of questions never came in IIT according to me.And the theory involved is not in JEE(my approximation).

6
AKHIL ·

:D

its not that hard a quesn

and how do u knw which quesn can come in JEE and which cant??
:P

1
kunl ·

akhil are there any more functions other than one i mentioned?

1
Vinay Arya ·

Akhil,I said these kind of questions never came.But I did not say that these will never come.

11
Joydoot ghatak ·

this may be useful,

all functions of the form
f(x) =ax+bcx+d where a+d = 0

yeild f(f(x)) = x.

1
ut10 ·

@joydoot : please show the process for arriving at that soln.

1
kunl ·

are commuting polynomials in syllabus [6]

1
samagra Kr ·

COMMUTING POLYNOMIALS.?????

Kunl,do you remember the question that submitted few months before?
f(g(x))=g(f(x))??????

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