Home
Class 11
MATHS
If function f:RtoR is defined by f(x)=3x...

If function `f:RtoR` is defined by `f(x)=3x-4` then `f^(-1)(x)` is given by

A

`(x+4)/(3)`

B

`(x)/(3)-4`

C

`3x+4`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos

  • FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|10 Videos

  • DISCRETE PROBABILITY DISTRIBUTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|40 Videos

  • HYPERBOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos

Similar Questions

Explore conceptually related problems

If A=R-{1} and function f:AtoA is defined by f(x)=(x+1)/(x-1) , then f^(-1)(x) is given by

If f:RtoR is defined by f(x)=ax+b,ane0 then f^(-1)(x)

The function f:RtoR defined by f(x)=e^(x) is

If f:RtoR is given by f(x)=3x-5 then f^-1(x)

A function f :Rto R is defined as f (x) =3x ^(2) +1. then f ^(-1)(x) is :

A function f :Rto R is defined as f (x) =3x ^(2) +1. then f ^(-1)(x) is :

If f:RtoR is a function defined by f(x)=x^(3)+5 then f^(-1)(x) is

If a function f:RtoR is defined by f(x)=(x^(2)-5)/(x^(2)+4) , then f is

The function f:RtoR given by f(x)=|x|

The function F:RtoR given by f(x)=-|x-1| is

OBJECTIVE RD SHARMA ENGLISH-FUNCTIONS-Exercise
  1. If f:R->R be defined by f(x)=x^2+1, then find f^(-1)(17) and f^(-1)(-3...

    Text Solution

    |

  2. The function f: NvecN(N is the set of natural numbers) defined by f(n)...

    Text Solution

    |

  3. The composite mapping fog of the maps f:R to R , f(x)=sin x and g:R to...

    Text Solution

    |

  4. If function f:RtoR is defined by f(x)=3x-4 then f^(-1)(x) is given by

    Text Solution

    |

  5. f : R rarr R is a function defined by f (x) = 10 x - 7. If g = f^(-1),...

    Text Solution

    |

  6. Let A={x in R : xlt=1} and f: A->A be defined as f(x)=x(2-x) . Then, ...

    Text Solution

    |

  7. If f(x)=x^n , n in Nandgof(x)=ng(x) then g(x) can be

    Text Solution

    |

  8. If the function f: R->R be such that f(x)=x-[x] , where [x] denotes th...

    Text Solution

    |

  9. f:R to R given by f(x)=5-3 sin x, is

    Text Solution

    |

  10. Let f:A->B be a function defined by f(x) =sqrt3sin x +cos x+4. If f is...

    Text Solution

    |

  11. Let f: A to B; g: B to A be two functions such that gof = IA. Then; f ...

    Text Solution

    |

  12. Let f: A to B; g: B to A be two functions such that fog = IB. Then; f ...

    Text Solution

    |

  13. If f: A->B and g: B->C are one-one functions, show that gof is one-o...

    Text Solution

    |

  14. If functions f:A to B and g : B to A satisfy gof= I(A), then show that...

    Text Solution

    |

  15. Suppose f:A to B " and " B to C. (i) Prove that if f is onto and g i...

    Text Solution

    |

  16. If f: A->B and g: B->C are one-one functions, show that gof is one-o...

    Text Solution

    |

  17. Let [x] denote the greatest integer less than or equal to x . If f(x...

    Text Solution

    |

  18. If f(x)=sin^(2)x, g(x)=sqrtx and h(x)=cos^(-1)x, 0 le xle 1, then

    Text Solution

    |

  19. If f(x)=(25-x^(4))^(1//4)"for "0 lt x lt sqrt5, "then"f(f((1)/(2)))=

    Text Solution

    |

  20. If X={1,2,3,4}, then one-one onto mappings f:X to X such that f(1)=1, ...

    Text Solution

    |