Home
Class 12
MATHS
Let f: R -{-4/3}rarrR be a function defi...

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

A

`g(y) =(3y)/(3-4y)`

B

`g(y) =(4y)/(4-3y)`

C

`g(y) =(4y)/(3-4y)`

D

`g(y) =(3y)/(4-3y)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise EXERCISE 1.4|25 Videos
  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE - 1|20 Videos
  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise EXERCISE 1.2|17 Videos
  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 13 (Section - D (Answer the following questions))|2 Videos
  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

Let f : R rarr R be the function defined by f(x) = 1/(2-cosx),AA x inR . Then , find the range of f .

If f : R rarr R be the function defined by f(x) = sin (3x +2) AA x in R . Then , f is invertible .

Let f':N rarr R be a function defined as f'(x) = 4x^(2) + 12x + 15 . Show that f:N rarrS , where, S is the range of f, is invertible. Find the inverse of f.

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

The domain and range of the real function f defined by f(x)= (4-x)/(x-4) is given by

Let f:R to R be defined by f(x)=3x-4 . Then, f^(-1) (x) is

The function f(x)= (4-x^(2))/(4x-x^(3)) is

Let f : R rarr R be defined as f(x) = 3x . Choose the correct answer.

KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS -EXERCISE 1.3
  1. Consider f : R rarr R given by f(x) = 4x +3. Show that f is invertibl...

    Text Solution

    |

  2. Consider f: R ^+ to [4 ,oo] given by f(x) =x^2 + 4 show th...

    Text Solution

    |

  3. Consider f : R(+) rarr [-5,oo) given by f(x) = 9x^(2) +6x-5. Show that...

    Text Solution

    |

  4. Let f :X rarr Y be an invertible function . Show that f has unique inv...

    Text Solution

    |

  5. Consider f : {1,2,3} rarr {a,b,c} given by f(1) = a, f(2) and f(3) = ...

    Text Solution

    |

  6. Let f : X rarr Y be an invertible function . Show that the inverse of ...

    Text Solution

    |

  7. If f : R rarr R be given by f(x) = (3-x^(3))^(1/3) then fof (x) is

    Text Solution

    |

  8. Let f: R -{-4/3}rarrR be a function defined as f(x) =(4x)/(3x+4) . Th...

    Text Solution

    |

  9. Determine whether or not each of the definition of ** given below give...

    Text Solution

    |

  10. Determine whether or not each of the definition of ** given below give...

    Text Solution

    |

  11. Determine whether or not each of the definition of ** given below give...

    Text Solution

    |

  12. Determine whether or not each of the definition of ** given below give...

    Text Solution

    |

  13. Determine whether or not each of the definition of ** given below give...

    Text Solution

    |

  14. For each opertion ** difined below, determine whether ** isw binary, c...

    Text Solution

    |

  15. For each opertion ** difined below, determine whether ** isw binary, c...

    Text Solution

    |

  16. For each opertion ** difined below, determine whether ** isw binary, c...

    Text Solution

    |

  17. For each opertion ** difined below, determine whether ** isw binary, c...

    Text Solution

    |

  18. For each operation ** defined below, determine , whether ** is binar...

    Text Solution

    |

  19. For each opertion ** difined below, determine whether ** isw binary, c...

    Text Solution

    |

  20. Consider the binary operation ^^ on the set {1,2,3,4,5} defined by a^^...

    Text Solution

    |