Home
Class 12
MATHS
Let f:R-{(-4)/3}toR be a function define...

Let `f:R-{(-4)/3}toR` be a function defined b `f(x)=frac(4x)(3x+4),xne-4/3`. Show that `f^-1(y)=frac(4y)(4-3y)`

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    MAXIMUM PUBLICATION|Exercise EXAMPLE|144 Videos
  • THREE DIMENSIONAL GEOMETRY

    MAXIMUM PUBLICATION|Exercise EXAMPLE|136 Videos

Similar Questions

Explore conceptually related problems

If f(x)=frac(4x+3)(6x-4),xne2/3 . Show that fof(x)=x , for all xne2/3 .

f : R - {(-4)/3} rarr R be a function defined as f(x) = (4x)/(3x +4) . The inverse of f is the map g : Range f rarr R - {(-4)/3} given by

Consider the function f(x)=frac(x+1)(x-1),xne1 f(3)+f^-1(3)

Let f(x) be a function defined by f(x)=int_(1)^(x)t(t^(2)-3t+2)dt,1lexle3 . Then the range of f(x) is a) [0,2] b) [-1/4,4] c) [-1/4,2] d)None of these

A=R-{7/5},B=R-{3/5} f:AtoB defined by f(x)=frac(3x+4)(5x-7) g:BtoA defined by g(y)=frac(7y+4)(5y-3) Find gof

Show that f:[-1,1]toR given by f(x)=frac(x)(x+2) is one-one.

Show that f:[-1,1]toR given by f(x)=frac(x)(x+2) is one-one.

If f(x)=frac(4x+3)(6x-4),xne2/3 . What is the inverse of ' f '?

If f: R rarr R be a function defined by f(x)=4 x^3-7 , show that the function f is a bijective function.

MAXIMUM PUBLICATION-RELATIONS AND FUNCTIONS-EXAMPLE
  1. Let R be a Relation in the set A={1,2,3,4,5,6} define as R={(x,y):...

    Text Solution

    |

  2. Let R be a Relation in the set A={1,2,3,4,5,6} define as R={(x,y):...

    Text Solution

    |

  3. Let f:R-{(-4)/3}toR be a function defined b f(x)=frac(4x)(3x+4),xne-4/...

    Text Solution

    |

  4. Let 'ast' is a binary operation on the set Q of rational numbers as fo...

    Text Solution

    |

  5. Let 'ast' is a binary operation on the set Q of rational numbers as fo...

    Text Solution

    |

  6. Let 'ast' is a binary operation on the set Q of rational numbers as fo...

    Text Solution

    |

  7. Let 'ast' is a binary operation on the set Q of rational numbers as fo...

    Text Solution

    |

  8. Show that the relation R on the set of natural numbers defined as R:{(...

    Text Solution

    |

  9. Consider f:[3,infty)to[1,infty) given by f(x)=x^2-6x+10. Find f^-1

    Text Solution

    |

  10. ast' be a binary operation on NxxN defined as (a,b)ast(c,d)=(ac,bd) ...

    Text Solution

    |

  11. ast' be a binary operation on NxxN defined as (a,b)ast(c,d)=(ac,bd) ...

    Text Solution

    |

  12. ast' be a binary operation on NxxN defined as (a,b)ast(c,d)=(ac,bd) ...

    Text Solution

    |

  13. Show that the relation R in the set R of Real numbers defined as R={(a...

    Text Solution

    |

  14. Consider f:R^+to[-5, infty) given by f(x)=9x^2+6x-5. Show that f is ...

    Text Solution

    |

  15. Let A=R-{3} and B=R-{1} consider the function f:AtoB defined by f(x)=f...

    Text Solution

    |

  16. Let f:R-{(-4)/3}toR be a function defined b f(x)=frac(4x)(3x+4),xne-4/...

    Text Solution

    |

  17. The relation R defined in the set A={-1,0,1} as R={(a,b):a=b^2} ...

    Text Solution

    |

  18. The relation R defined in the set A={-1,0,1} as R={(a,b):a=b^2} ...

    Text Solution

    |

  19. Let A={1,2,3}. Give an example of a relation on A which is Symmetric...

    Text Solution

    |

  20. Let A={1,2,3}. Give an example of a relation on A which is Transitiv...

    Text Solution

    |