Periodic function

IIT JEE Online › Calculus questions › Periodic function

Q1 If f(x) and g(x) be periodic and non periodic functions respectively, then f(g(x)) is
a) always periodic
b) never periodic
c) periodic when g(x) is a linear function of x
d) can't say
Answer is c.
Please tell why it is not always periodic
From the test section.

#Mathematics #Calculus

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1 Answers

262

Aditya Bhutra ·2012-01-07 00:18:09

take f(x) =sinx g(x)=k.x²
then f(g(x)) is not periodic (since it has no definite period )

but if g(x) = kx , then f(g(x)) = sinkx , which is periodic

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