Home
Class 11
MATHS
IF f :R -{2} to R is a function de...

IF ` f :R -{2} to R ` is a function defined by ` f(x) =(x^(2)-4)/(x-2)` , then its range is

A

R

B

`R-{2}`

C

`R-{4}`

D

`R-{-2,2}`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos

  • SETS, RELATIONS AND FUNCTIONS

    TARGET PUBLICATION|Exercise CRITICAL THINKING|83 Videos

  • PROBABILITY

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 Videos

  • STRAIGHT LINE

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

Similar Questions

Explore conceptually related problems

If f:R-{2}toR is a function defined by f(x)=(x^(2)-4)/(x-2) , then its range is

Let f:R to R be a function defined by f(x)=(x^(2)-8)/(x^(2)+2) . Then f is

Let f:R rarr R be a function defined as f(x)=(x^(2)-6)/(x^(2)+2) , then f is

Let f:R rarr R be a function defined by f(x)=x+sqrt(x^(2)), then fis

Let f:R rarr R be a function defined by f(x)=(x^(2)-3x+4)/(x^(2)+3x+4) then fis-

If f : [2,oo) to R be the function defined by f(x)=x^(2)-4x+5, then the range of f is

Let f:R rarr R be a function is defined by f(x)=x^(2)-(x^(2))/(1+x^(2)), then

Let f:R rarr R be a function defined by f(x)=(x^(2)+2x+5)/(x^(2)+x+1) is

The function f:R rarr R defined by f(x)=x(x-2)(x-3) is

TARGET PUBLICATION-SETS, RELATIONS AND FUNCTIONS-COMPETITVE THINKING
  1. The domain of f(x)=log|logx| is

    Text Solution

    |

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

    Text Solution

    |

  3. The domain of the function f(x)=sqrt(log(1/(|sinx|))) R-{-pi,pi} (b)...

    Text Solution

    |

  4. The domain of the function f(x)=(log)(3+x)(x^2-1) is (-3,-1)uu(1,oo) ...

    Text Solution

    |

  5. The domain of the function f(x) = ( sqrt(5x - 3 - 2x^(2))) is

    Text Solution

    |

  6. The domain of the function f (x) =sin ^(-1) (x-3)/sqrt(x - x ^(3)) is

    Text Solution

    |

  7. Domain of the function f(x)=sin^(- 1)(1+3x+2x^2)

    Text Solution

    |

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

    Text Solution

    |

  9. The domain of the function cos^-1 {log2 (x^2+5x+8)} is

    Text Solution

    |

  10. The range of the function f (x) = sqrt(x - x ^(2)) is

    Text Solution

    |

  11. The range of the functin f (x) = (x+2)/(|x+2|) is

    Text Solution

    |

  12. Find the range of f(x)=(x^2+34 x-71)/(x^3+2x-7)

    Text Solution

    |

  13. IF f :R -{2} to R is a function defined by f(x) =(x^(2)-4)/(...

    Text Solution

    |

  14. Let f:R to R be defined as f (x) =( 9x ^(2) -x +4)/( x ^(2) x+4). The...

    Text Solution

    |

  15. The range of f(x) = cos x - sin x is

    Text Solution

    |

  16. Equation cos 2x+7=a(2-sin x) can have a real solution for

    Text Solution

    |

  17. The range of the function f(x)=log(e)(3x^(2)+4) is equal to

    Text Solution

    |

  18. The range of function f (x) = log (e) sqrt(4- x ^(2)) is given by

    Text Solution

    |

  19. If f:[0,pi/2)->R is defined as f(theta)=|(1,tantheta,1),(-tantheta,1,...

    Text Solution

    |

  20. The range of the function f(x) = tan sqrt((pi^(2))/(9)-x^(2)), is

    Text Solution

    |