Home
Class 12
MATHS
Which of the following functions is an o...

Which of the following functions is an odd function:

A

`f(x)`= const

B

f(x)=sinx+ cosx

C

`f(x)=sin{log_(10)(x+sqrt(x^(2)+1))}`

D

`f(x)=1+x+2x^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Clearly , g(x)= sin x and `h(x)=log(x+sqrt(x^(2)+1))` both the odd functions. Therefore , f(x)=goh(x) is also an odd functions.
Promotional Banner

Topper's Solved these Questions

  • REAL FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section I - Solved Mcqs|95 Videos

  • REAL FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|8 Videos

  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|55 Videos

  • SCALAR AND VECTOR PRODUCTS OF THREE VECTORS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|63 Videos

Similar Questions

Explore conceptually related problems

Which of the following function is an even function ?

Which of the following functions is a surjection?

Which of the following function is periodic ?

Which of the following is a function ?

Which of the following functions is neither odd nor even?

Which of the following functions has inverse function?

Which of the following functions is/are bounded?

Which of the following functions is non-periodic?

Which of the following is not an odd function ?

Which of the following functions is (are) even, odd or neither: f(x)=sinx-cosx

OBJECTIVE RD SHARMA ENGLISH-REAL FUNCTIONS -Chapter Test
  1. Which of the following functions is an odd function:

    Text Solution

    |

  2. The period of the function f(x)=sin^(4)3x+cos^(4)3x, is

    Text Solution

    |

  3. The value of integer n for which the function f(x)=(sinx)/(sin(x / n)...

    Text Solution

    |

  4. The period of the function f(x)=sin((2x+3)/(6pi)), is

    Text Solution

    |

  5. The domain of the function f(x)=sqrt(log((1)/(|sinx|)))

    Text Solution

    |

  6. The domain of the function f(x)=log(10) (sqrt(x-4)+sqrt(6-x)) is :

    Text Solution

    |

  7. Let f(x)=(sqrt(sinx))/(1+(sinx)^(1/3)) then domain f contains

    Text Solution

    |

  8. If f : R -> R is defined by f(x) = [2x] - 2[x] for x in R, where [x] i...

    Text Solution

    |

  9. If N denotes the set of all positive integers and if f : N -> N is def...

    Text Solution

    |

  10. The set of value of a for which the function f(x)=sinx+[(x^(2))/(a)] d...

    Text Solution

    |

  11. If f(x)={{:(-1, x lt 0),(0, x=0 and g(x)=x(1-x^(2))", then"),(1, x gt ...

    Text Solution

    |

  12. Find the equivalent definition of f(x)=max.{x^(2),(1-x)^(2),2x(1-x)...

    Text Solution

    |

  13. If f(x) is defined on [0,1], then the domain of f(3x^(2)) , is

    Text Solution

    |

  14. The function f(x) is defined in [0,1] . Find the domain of f(t a nx)do...

    Text Solution

    |

  15. The domain of definition of the real function f(x)=sqrt(log(12)x^(2)) ...

    Text Solution

    |

  16. The values of ba n dc for which the identity of f(x+1)-f(x)=8x+3 is sa...

    Text Solution

    |

  17. The function f(x)=sin""(pix)/(2)+2 cos ""(pix)/(3)-tan""(pix)/(4) is p...

    Text Solution

    |

  18. The period of the function sin""((pix)/(2))+cos((pix)/(2)), is

    Text Solution

    |

  19. If x in R, then f(x)=sin^(-1)((2x)/(1+x^(2))) is equal to

    Text Solution

    |

  20. If x in R , then f(x)=cos^(-1)((1-x^(2))/(1+x^(2))) is equal to

    Text Solution

    |

  21. The equivalent definition of the function f(x)=lim(n to oo)(x^(n)-x^(-...

    Text Solution

    |