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

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

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Question

Solution

Correct option is

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

Since we know if (x) is periodic then

f (a+ b) is also periodic function.

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

SIMILAR QUESTIONS

Q1

The domain of definition of

Q2

The natural domain of

Q3

The domain of the function

Q4

Then its domain is given by

Q5

Domain of definition of the function

Q6
Q7

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

Q8

Range of

Q9

The period of   is

Q10

Let (x) and g(x) be bijective function where :{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