Home
Class 12
MATHS
Find the range of the function y = (x^(2...

Find the range of the function `y = (x^(2) - 1)/(x-1), x != 1`.

Text Solution

Verified by Experts

`y = (x^(2) - 1)/(x-1), x != 1`
y is defined for all `x in R - {1}`
`rArr y != 2`
`:.` Range = R - {2}
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - A) Objective Type Questions (one option is correct)|102 Videos
  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - B) Objective Type Questions (one option is correct)|87 Videos
  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos
  • PROBABILITY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION-J (aakash challengers questions)|13 Videos
  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - J) Aakash Challengers|12 Videos

Similar Questions

Explore conceptually related problems

Find the range of the function f(x)=(x)/(1+x^(2))

What is the range of the function f(x)=(|x-1|)/(x-1)

Range of the function y=(x^(2)-x+1)/(2x^(2)-2x+3)=

The range of the function f(x)=(x^(2)-1)/(x^(2)+4) is

The range of the function f(x)=x^(2)+(1)/(x^(2)+1) is

Find the range of the function f(x)=[x],1lexlt3

AAKASH INSTITUTE-RELATIONS AND FUNCTIONS -Try Yourself
  1. Find the range : (i) f(x) = 2x^(2) (ii) f(x) = -x^(2)

    Text Solution

    |

  2. Find the domain of the function y = (x)/(1-x^(2)).

    Text Solution

    |

  3. Find the range of the function y = (x^(2) - 1)/(x-1), x != 1.

    Text Solution

    |

  4. Define the function f : R rarr R by y = f(x) = x^(4), x in R. What is ...

    Text Solution

    |

  5. Define the function f : R rarr R by y = f(x) = x^(5), x in R. What is...

    Text Solution

    |

  6. Given the function f(x) = x^(2) + 2x + 5. Find f(-1), f(2), f(5).

    Text Solution

    |

  7. Given the function f(x) = 2x + 7. Find f(0), f(5), f(7).

    Text Solution

    |

  8. Find the domain and range of |x-3|.

    Text Solution

    |

  9. Find the domain and range of -|x-5|.

    Text Solution

    |

  10. Consider that [] represents greatest integer function. Find the valu...

    Text Solution

    |

  11. Consider that [] represents greatest integer function. [(3)/(5)] + [...

    Text Solution

    |

  12. Let f(x) = x^(3) + 5 and g(x) = 5x + 3 be two real functions. Find (f+...

    Text Solution

    |

  13. Let f(x) = 3x + 8 and g(x) = x^(2) be two real functions. Find (f+g) (...

    Text Solution

    |

  14. If f, g : R rarr R be defined respectively by f(x) = 3x + 2 and g(x) =...

    Text Solution

    |

  15. If f, g : R rarr R be defined respectively by f(x) = 8x + 7 and g(x) =...

    Text Solution

    |

  16. Let f(x) = x^(3) + 6x + 9 and g(x) = x+5 be two functions. Find (f+g) ...

    Text Solution

    |

  17. Let f(x) = x^(2) + 2x +5 and g(x) = x^(3) - 1 be two real functions. F...

    Text Solution

    |

  18. Show that the function f : R rarr R defined by f(x) = cos (5x+3) is ne...

    Text Solution

    |

  19. Let A be the set of all 50 students of class X I I in a central sch...

    Text Solution

    |

  20. If f: R->R be given by f(x)=s in^2x+s in^2(x+pi//3)+cosx\ cos(x+pi//3)...

    Text Solution

    |