If f (x) And G(x) Be Periodic And Non-periodic Function Respectively, Then f(g(x)) Is

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Question

If f (x) and g(x) be periodic and non-periodic function respectively, then f(g(x)) is

easy

Solution

Correct option is

Periodic when g(x) is a linear function of ‘x’

Since we know if f (x) is periodic then

f (ax + b) is also periodic function.

Hence g(x) should be a linear function of ‘x’.

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SIMILAR QUESTIONS

Q1

The domain of definition of

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Q2

The natural domain of

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Q3

The domain of the function

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Q4

Then its domain is given by

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Q5

Domain of definition of the function

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Q6

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Q7

The domain of definition of the function y (x) given by the equation

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Q8

Range of

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Q9

The period of is

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Q10

Let f (x) and g(x) be bijective function where f :{a, b, c, d}{1, 2, 3, 4}and g:{3, 4, 5, 6}{w, x, y, z) respectively. The number of elements in the range set of g(f (x)) is

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