Home
Class 12
MATHS
The set of values of x for which the fun...

The set of values of x for which the function
`f(x)=(1)/(x)+2^(sin^(-1)x)+(1)/(sqrt(x-2))` exists is

A

R

B

R-{0}

C

`phi`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • REAL FUNCTIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos
  • REAL FUNCTIONS

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|8 Videos
  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA|Exercise Chapter Test|55 Videos
  • SCALAR AND VECTOR PRODUCTS OF THREE VECTORS

    OBJECTIVE RD SHARMA|Exercise Exercise|65 Videos

Similar Questions

Explore conceptually related problems

The set of values of 'x' for which the formula 2sin^(-1)x=sin^(-1)2x sqrt(1-x^(2)) is true is

The set of vlues of x for which tan^(-1)(x)/sqrt(1-x^(2))=sin^(-1) x holds is

The set of all values of a for which the function f(x)=((a^2-1)/3)x^3+(a-1)x^2+2x+1 increases on R, is

Find the real values of x for which the function f(x) = cos^(-1) sqrt(x^(2) + 3 x + 1) + cos^(-1) sqrt(x^(2) + 3x) is defined

Find the values of x for which the follwing function is defined: f(x)=sqrt(1)/(|x-2|-(x-2))

Find the domain of each of the following function: f(x)=2^(sin^(-1)x)+1/(sqrt(x-2))

The largest set of real values of x for which f(x)=sqrt((x+2)(5-x))-(1)/(sqrt(x^(2)-4))- is a real function is

Find the values of x for which the following function is defined: f(x)=sqrt((1)/(|x-2|-(x-2)))

OBJECTIVE RD SHARMA-REAL FUNCTIONS -Exercise
  1. If the function f: RvecA given by f(x)=(x^2)/(x^2+1) is surjection, th...

    Text Solution

    |

  2. The domain of definition of the function f(x)=(1)/(sqrt(|x|-x)) is

    Text Solution

    |

  3. The set of values of x for which the function f(x)=(1)/(x)+2^(sin^(...

    Text Solution

    |

  4. The function f(x)=log(10)(x+sqrt(x^(2))+1) is

    Text Solution

    |

  5. The function f(x)= cos{log(10)(x+sqrt(x^(2)+1)} , is

    Text Solution

    |

  6. f(x)=sqrt(sin^(- 1)(log2x))

    Text Solution

    |

  7. The function f(x)=sqrt(cos(sinx))+sin^-1((1+x^2)/(2x)) is defined for ...

    Text Solution

    |

  8. The function f(x)=|cos| is periodic with period

    Text Solution

    |

  9. If a funciton f(x) is defined for x in [0,1], then the function f(2x+...

    Text Solution

    |

  10. the period of the f(x)=sin^4x+cos^4x is

    Text Solution

    |

  11. Which of the following functions is the inverse of itself? f(x)=(1-x)/...

    Text Solution

    |

  12. If f(-x)=-f(x) , then f(x) is

    Text Solution

    |

  13. The value of f(x)=3sin((pi^2)/(16)-x^2) lie in the interval

    Text Solution

    |

  14. If f(x)=(x-1)/(x+1) then f(2x) is equal to

    Text Solution

    |

  15. Given f(x)=log(10)((1+x)/(1-x)) and g(x)=(3x+x^(3))/(1+3x^(2)), then f...

    Text Solution

    |

  16. If f(x)=2x^(6)+3x^(4)+4x^(2) , then f'(x) is

    Text Solution

    |

  17. If f(x) is an even function, then the curve y=f(x) is symmetric about

    Text Solution

    |

  18. If f(x) is an odd function, then the curve y=f(x) is symmetric

    Text Solution

    |

  19. Which of the following functions is periodic ?

    Text Solution

    |

  20. Let the function f(x)=x^(2)+x+sinx- cosx+log(1+|x|) be defined on the ...

    Text Solution

    |