If f(x) and g(x) are non-periodic funct...

If f(x) and g(x) are non-periodic functions, then h(x)=f(g(x)) is

A

non-periodic

B

periodic

C

may be periodic

D

always periodic, if domain of h(x) is a proper subset of real numbers

Text Solution

Verified by Experts

The correct Answer is:

C

Topper's Solved these Questions

FUNCTIONS
ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|25 Videos
FUNCTIONS
ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos
FUNCTIONS
ARIHANT MATHS|Exercise Exercise For Session 12|4 Videos
ESSENTIAL MATHEMATICAL TOOLS
ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos
GRAPHICAL TRANSFORMATIONS
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

If f(x) and g(x) are continuous functions satisfying f(x)=f(a-x) and g(x)+g(a-x)=2 then what is int_0^a f(x) g(x) dx equal to

If f(x) and g(x) are periodic functions with periods 7 and 11, respectively,then the period of f(x)=f(x)g((x)/(5))-g(x)f((x)/(3)) is 177 (b) 222(c)433 (d) 1155

If f(x) and g(x) are continuous functions satisfying f(x) = f(a-x) and g(x) + g(a-x) = 2 , then what is int_(0)^(a) f(x) g(x)dx equal to ?

If f(x) and g(x) are two real functions such that f(x)+g(x)=e^(x) and f(x)-g(x)=e^(-x) , then

If f(x) and g(x) are linear functions of x and f(g(x)) and g(f(x)) are identity functions and if f(0)=4 and g(5)=17, compute f(2006)

If f(x) and g(x) are continuous functions, then int_(In lamda)^(In (1//lamda))(f(x^(2)//4)[f(x)-f(-x)])/(g(x^(2)//4)[g(x)+g(-x)])dx is

If y=f(x) is a periodic function with period K, then g(x)=f(ax+b) is a Periodic function,The period of g(x) is

If both f(x) and g(x) are non-differentiable at x=a then f(x)+g(x) may be differentiable at x=a

If f(x) and g(x) are differentiable function then show that f(x)+-g(x) are also differentiable such that d(f(x)+-g(x))/(dx)=d(f(x))/(dx)+-d(g(x))/(dx)

ARIHANT MATHS-FUNCTIONS-Exercise (Single Option Correct Type Questions)

The range of y=sin^(3)x-6sin^(2)x+11sinx-6 is
Text Solution
|
Let f(x)=x^(2)-2x and g(x)=f(f(x)-1)+f(5-f(x)), then
Text Solution
|
If f(x) and g(x) are non-periodic functions, then h(x)=f(g(x)) is
Text Solution
|
If f(x) is a real-valued function discontinuous at all integral points...
Text Solution
|
A function f from integers to integers is defined as f(x)={n+3, n in ...
Text Solution
|
If f:R->R and f(x)=sin(pi{x})/(x^4+3x^2+7), where {} is a fractional p...
Text Solution
|
Let f:R->R and g:R->R be two one-one and onto functions such that they...
Text Solution
|
The domain of the funciton f(x) given by 3^(x) + 3^(f) = "min" (2t^(3...
Text Solution
|
Let x be the elements of the set A={1,2,3,4,5,6,8,10,12,15,20,24,30,40...
Text Solution
|
If A gt 0, c,d,u.v are non-zero constants and the graph of f(x)=abs(Ax...
Text Solution
|
If f(x)=x^(3)+3x^(2)+4x+asinx+bcosx, forall x in R is a one-one fuctio...
Text Solution
|
If two roots of the equation (p-1)(x^2 +x +1)^2 -(p+1)(x^4+x^2+1)=0 ar...
Text Solution
|
Let f(x)=x^(13)+2x^(12)+3x^(11)+...+13x+14 " and " alpha=cos""(2pi)/15...
Text Solution
|
Let f(x)=sin^(-1)2x + cos^(-1)2x + sec^(-1)2x. Then the sum of the max...
Text Solution
|
The complete set of values of a for which the function f(x)=tan^(-1)(x...
Text Solution
|
The domain of the function f(x)=sin^(-1)""(1)/abs(x^(2)-1)+1/sqrt(si...
Text Solution
|
The domain of f(x)=(log(sin^(-1)sqrt(x^(2)+x+1)))/(log(x^(2)-x+1)) is
Text Solution
|
The domain of f(x)=sqrt(sin^(-1)(3x-4x^(3)))+sqrt(cos^(-1)x) is equal ...
Text Solution
|
The domain of the function f(x)=root(6)(4^(x)+8^(2//3(x-2))-52-2^(2(...
Text Solution
|
The domain of derivative of the function f(x)=abs(sin^(-1)(2x^(2)-1)...
Text Solution
|