Home
Class 11
MATHS
Let f: R-{3/5}->R be defined by f(x)=(3x...

Let `f: R-{3/5}->R` be defined by `f(x)=(3x+2)/(5x-3)` . Then (a).f^-1(x)=f(x). (b).f-1(x)= -f(x). (c). (fof)=x (d). f-1(x)=(1/19)f(x)

A

`f^(-1)(x)=f(x)`

B

`f^(-1)(x)=-f(x)`

C

`(fof)(x)=-x`

D

`f^(-1)(x)=-(1)/(19)f(x)`

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

Let f: R->R be defined as f(x)=(2x-3)/4 . Write fof^(-1)(1) .

If f\ : R-> R be defined by f(x)=(3-x^3)^(1//3)\ , then find fof(x)

If f\ : R-: R be defined by f(x)=(3-x^3)^(1//3)\ , then find fof(x)

Let f: R->R^+ be defined by f(x)=a^x ,\ a >0 and a!=1 . Write f^(-1)(x) .

Let f: R-{-1}->R-{1} be given by f(x)=x/(x+1) . Write f^(-1)(x) .

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

Let f:Rto R be a functino defined by f (x) = e ^(x) -e ^(-x), then f^(-1)(x)=

If the function f: R->R be defined by f(x)=x^2+5x+9 , find f^(-1)(8) and f^(-1)(9) .

Let f: R-{-3/5}->R be a function defined as f(x)=(2x)/(5x+3) . Write f^(-1) : Range of f->R-{-3/5} .

If f:R-{-(1)/(2)}toR-{(1)/(2)} is defined by f(x)=(x-3)/(2x+1) , then f^(-1)(x) is

OBJECTIVE RD SHARMA ENGLISH-FUNCTIONS-Exercise
  1. Let f:N->N be defined by f(x)=x^2+x+1,x in N. Then f(x) is

    Text Solution

    |

  2. Let A={-1 le x le 1} and f:A to A such that f(x)=x|x| then f is:

    Text Solution

    |

  3. Let f: R-{3/5}->R be defined by f(x)=(3x+2)/(5x-3) . Then (a).f^-1(x)...

    Text Solution

    |

  4. If f(x)=2^(x),"then"f(0),f(1),f(2)..."are in"

    Text Solution

    |

  5. If the function f: RvecA given by f(x)=(x^2)/(x^2+1) is surjection, th...

    Text Solution

    |

  6. Which of the following functions is the inverse of itself? (a) f(x)=(1...

    Text Solution

    |

  7. If f(x) =(x-1)/(x+1)," then f(2x) is:"

    Text Solution

    |

  8. If f(x)=log((1+x)/(1-x))a n dg(x)=((3x+x^3)/(1+3x^2)) , then f(g(x)) i...

    Text Solution

    |

  9. If f(x)=a^x, which of the following equalities do not hold ? (i) f(...

    Text Solution

    |

  10. The interval in which the function y = f(x) = (x-1)/(x^2-3x+3) transfo...

    Text Solution

    |

  11. If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to ...

    Text Solution

    |

  12. If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to ...

    Text Solution

    |

  13. Which of the following functions is not an are not an injective map(s)...

    Text Solution

    |

  14. If f(x)={x ,xi sr a t ion a l1-x ,xi si r r a t ion a l ,t h e nf(f(x)...

    Text Solution

    |

  15. Let f (x) =x and g (x) = |x| for all . Then the function satisfying ...

    Text Solution

    |

  16. about to only mathematics

    Text Solution

    |

  17. If f(x)=(ax^(2)+b)^(3), the function g such that f(g(x))=g(f(x)), is g...

    Text Solution

    |

  18. If a function f:[2,oo)toR is defined by f(x)=x^(2)-4x+5, then the rang...

    Text Solution

    |

  19. The function f : R -> R is defined by f (x) = (x-1) (x-2) (x-3) is

    Text Solution

    |

  20. Let A={x,y,z}=B={u,v,w) and f:A to B be defined by f (x)=u, f(y)=v, f(...

    Text Solution

    |