Home
Class 12
MATHS
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
Promotional Banner

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(g(x)) is one-one function, then

If f and g are continuous functions on [0,a] satisfying f(x)=(a-x) and g(x)+g(a-x)=2 , then show that int_(0)^(a)f(x)g(x)dx=int_(0)^(a)f(x)dx .

f(x)={(x-1",",-1 le x le 0),(x^(2)",",0le x le 1):} and g(x)=sinx Consider the functions h_(1)(x)=f(|g(x)|) and h_(2)(x)=|f(g(x))|. Which of the following is not true about h_(1)(x) ?

If e^f(x)= log x and g(x) is the inverse function of f(x), then g'(x) is

If f and g are continuous functions in [0, 1] satisfying f(x) = f(a-x) and g(x) + g(a-x) = a , then int_(0)^(a)f(x)* g(x)dx is equal to

Let f(x) and g(x) be differentiable functions such that f(x)+ int_(0)^(x) g(t)dt= sin x(cos x- sin x) and (f'(x))^(2)+ (g(x))^(2) = 1,"then" f(x) and g (x) respectively , can be

Suppose f(x) and g(x) are two continuous functions defined for 0<=x<=1 .Given, f(x)=int_0^1 e^(x+1) .f(t) dt and g(x)=int_0^1 e^(x+1) *g(t) dt+x The value of f( 1) equals

If f(x) , g(x) and h(x) are polynomials of degree 2 , then : phi (x) = |(f(x),g(x),h(x)),(f'(x),g'(x),h'(x)),(f''(x),g''(x),h''(x))| is a polynomial of degree :

If f(x)=(a x^2+b)^3, then find the function g such that f(g(x))=g(f(x))dot

If f and g are functions defined by : f(x)= sqrt(x-1), g(x)=1/x ,then describe the following : f+g.

ARIHANT MATHS-FUNCTIONS-Exercise (Single Option Correct Type Questions)
  1. Find the range of y=sin^3x-6sin^2x+11sinx-6.

    Text Solution

    |

  2. Let f(x)=x^2-2x ,x in R ,a n dg(x)=f(f(x)-1)+f(5-(x))dot Show that g(...

    Text Solution

    |

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

    Text Solution

    |

  4. If f(x) is a real-valued function discontinuous at all integral points...

    Text Solution

    |

  5. A function f from integers to integers is defined as f(x)={{:(n+3, n ...

    Text Solution

    |

  6. If f:R->R and f(x)=sin(pi{x})/(x^4+3x^2+7), where {} is a fractional p...

    Text Solution

    |

  7. Show that f: R→ R defined as f(a) = 3a – 4 is one to one function.

    Text Solution

    |

  8. Find dy/dx if y= 3^x

    Text Solution

    |

  9. Let y be element of the set A={1,2,3,,5,6,10,15,30} and x(1),x(2),x(3)...

    Text Solution

    |

  10. If A gt 0, c,d,u.v are non-zero constants and the graph of f(x)=abs(Ax...

    Text Solution

    |

  11. f(x)=x^(3)+3x^(2)+4x+bsinx+c cosx,forall x in R is a one-one function,...

    Text Solution

    |

  12. If two roots of the equation (p-1)(x^2 +x +1)^2 -(p+1)(x^4+x^2+1)=0 ar...

    Text Solution

    |

  13. If f(x)=x^11+x^9−x^7+x^3+1 and f(sin^(−1)(sin8))=α,α is constant, then...

    Text Solution

    |

  14. Let f(x)=sin^(-1)2x + cos^(-1)2x + sec^(-1)2x. Then the sum of the max...

    Text Solution

    |

  15. The complete set of values of a for which the function f(x)=tan^(-1)(x...

    Text Solution

    |

  16. The domain of the function f(x)=sin^(-1)""(1)/abs(x^(2)-1)+1/sqrt(si...

    Text Solution

    |

  17. The domain of f(x)=(log(sin^(-1)sqrt(x^(2)+x+1)))/(log(x^(2)-x+1)) is ...

    Text Solution

    |

  18. The domain of f(x)=sqrt(sin^(-1)(3x-4x^(3)))+sqrt(cos^(-1)x) is equal ...

    Text Solution

    |

  19. The domain of the function f(x)=root(6)(4^(x)+8^(2//3(x-2))-52-2^(2(...

    Text Solution

    |

  20. The domain of derivative of the function f(x)=abs(sin^(-1)(2x^(2)-1)...

    Text Solution

    |