Home
Class 11
MATHS
Let f : R - {2} rarr R be defined as f...

Let ` f : R - {2} rarr R` be defined as f(x) = `(x^2 - 4)/(x-2)` and `g: R rarr R` be defined by g(x) = x + 2. Find whether f = g or not.

Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    RD SHARMA ENGLISH|Exercise All Questions|100 Videos
  • GEOMETRIC PROGRESSIONS

    RD SHARMA ENGLISH|Exercise All Questions|256 Videos

Similar Questions

Explore conceptually related problems

Let f : R rarr R be defined by f(x) = x^(2) + 3x + 1 and g : R rarr R is defined by g(x) = 2x - 3, Find, (i) fog (ii) gof

Let f: R rarr Ris defined by/(x)= 3x + 5. Then

If the function f : R rarr R be defined as f(x) = (3x + 4)/(5x-7), (x ne 7//5) and g : R rarr R be defined as g(x) = ( 7x + 4)/(5x - 3),(x ne 3//5) show that (g o f)(x) = (f o g)(x) .

Let f : N rarr R be the function defined by f(x) = (2x-1)/(2) and g : Q rarr R be another function defined by g(x) = x + 2. Then (gof) ((3)/(2)) is

The function f:R rarr R defined as f(x)=(3x^2+3x-4)/(3+3x-4x^2) is :

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

The function f:R rarr R defined as f(x)=(x^(2)-x+1)/(x^(2)+x+1) is

Let f: R->R be defined as f(x)=x^2+1 . Find: f^(-1)(10)

The function f:R rarr R be defined by f(x)=2x+cosx then f

Show f:R rarr R defined by f(x)=x^(2)+4x+5 is into

RD SHARMA ENGLISH-FUNCTIONS-All Questions
  1. Let A={-2,\ -1,\ 0,\ 1,\ 2}a n d\ f: A->ZZ be given y f(x)=x^2-2x-3. F...

    Text Solution

    |

  2. Let A={1,2},\ B={3,6} and f: A->B given by f(x)=x^2+2\ and\ g: A->B gi...

    Text Solution

    |

  3. Let f : R - {2} rarr R be defined as f(x) = (x^2 - 4)/(x-2) and g: R...

    Text Solution

    |

  4. Let f: ZZ->ZZ\ a n d\ g: ZZ->ZZ\ be functions defined by f={(n , n^2)...

    Text Solution

    |

  5. Let f: R->R be a function given by f(x)=x^2+1. Find: f^(-1){-5}

    Text Solution

    |

  6. Let f: R->R be a function given by f(x)=x^2+1. Find: f^(-1){26}

    Text Solution

    |

  7. Let f: R->R be a function given by f(x)=x^2+1. Find: f^(-1){10 , 37}

    Text Solution

    |

  8. Let f" "=" "{(1,1)," "(2," "3)," "(0, -1)," "(-1," "-3)} be a function...

    Text Solution

    |

  9. If f: RR->RR be defined as follows: f(x)={1,\ if\ x in QQ, -1,\ if\...

    Text Solution

    |

  10. If f: R->R be defined as follows: f(x)={1,\ if\ x in Q-1,\ if\ x !in ...

    Text Solution

    |

  11. Define a  function as a set of ordered pairs.

    Text Solution

    |

  12. Define a function as a correspondence between two sets.

    Text Solution

    |

  13. Let A={-2,\ -1,\ 0,\ 1,\ 2}a n d\ f: A->Z be given y f(x)=x^2-2x-3. Fi...

    Text Solution

    |

  14. Let A={-2,\ -1,\ 0,\ 1,\ 2}a n d\ f: A->Z be given y f(x)=x^2-2x-3. Fi...

    Text Solution

    |

  15. If a function f: R->R be defined by f(x)={3x-2,\ x<0 1, x=0 4x+1, x >0...

    Text Solution

    |

  16. A function f: R->R is defined by f(x)=x^2dot Determine Range of f ii....

    Text Solution

    |

  17. Let f: R^+ -> R where R^+ is the set of all positive real numbers, be ...

    Text Solution

    |

  18. Let f: R->R whre R^+ is the set of all positive real numbers, be such ...

    Text Solution

    |

  19. Let f: R->R whre R^+ is the set of all positive real numbers, be such ...

    Text Solution

    |

  20. Write the following relations as sets of ordered pairs and find which ...

    Text Solution

    |