Home
Class 12
MATHS
If f(x)=(3x+2)/(5x-3), then :...

If `f(x)=(3x+2)/(5x-3)`, then :

A

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

B

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

C

`f^(-1)(f(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

  • QUADRATIC EQUATIONS AND EXPRESSION

    HIMALAYA PUBLICATION|Exercise Question Bank|129 Videos
  • STATISTICS MEASURE OF DIPERSION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|28 Videos

Similar Questions

Explore conceptually related problems

If f(x)=(3x+2)/(5x-3),x inR-{(3)/(5)} , then :

Show that if f : R - {7/5} to R - {3/5} is defined by f(x) = (3x + 4)/(5x - 7) and g : R - {3/5} to R - {7/5} is defined by g(x) = (7x + 4)/(5x - 3) , then fog = I_(A) and gof = I_(n) , where A = R - {3/5}, B = R - {7/5}, I_(A) (x) = x, AA x in A, I_(B) (x) = x, AA x in B are called identify function on sets A and B, respectively.

For real x, let f(x)=x^(3)+5x+1, , then :

If f(x) = 3x^(2) + 15x + 5, then the approximate value of f (3.02) is

If f (x) is defined [-2, 2] by f(x)=4x^(2)-3x+1 and g(x)=(f(-x)-f(x))/((x^(2)+3)) , then int_(-2)^(2)g(x)dx=

If f(x)=3 x-5 , then f^(-1)(x)=

If f(x)={{:((3sin pi x)/(5x)", "x !=0),(2K" , " x=0):} is continuous at x=0 , then the value of K is

HIMALAYA PUBLICATION-SETS,RELATIONS AND FUNCTIONS-QUESTION BANK
  1. The value of alpha(ne0) for which the function f(x)=1+alphax is the in...

    Text Solution

    |

  2. The number of one-one and onto mapping from A to B, where n(A)=6andn(B...

    Text Solution

    |

  3. If f(x)=(3x+2)/(5x-3), then :

    Text Solution

    |

  4. If f:RtoS defined by : f(x)=sinx-sqrt(3)cosx+1, is onto, then the inte...

    Text Solution

    |

  5. Let f:(-1,1)toB be a function defined by : f(x)=tan^(-1)""(2x)/(1-x^2)...

    Text Solution

    |

  6. If A ,B and C be three sets such that A uu B = A uu C and A nn B =A nn...

    Text Solution

    |

  7. For real x, let f(x)=x^(3)+5x+1,, then :

    Text Solution

    |

  8. The domain of the function f(x)=(1)/(sqrt(|x|-x)) is :

    Text Solution

    |

  9. Let g(x)=1+x-[x] and f(x)={:{(-1","x<0),(0","x=0),(1","x>0):} Then fo...

    Text Solution

    |

  10. Let f(x)=(alphax)/(x+1),xne0, then for what value of alpha is f[f(x)]...

    Text Solution

    |

  11. Suppose f(x)=(x+1)^(2) for xge-1. If g(x) is the function whose graph ...

    Text Solution

    |

  12. If f(x) = {(x, if \x \ is \rational),(0,if \ x \ is \ irrational):} ...

    Text Solution

    |

  13. Let, f:(0,1) rarr R be defined by f(x)=(b-x)/(1-b x)where b is a con...

    Text Solution

    |

  14. Which of the following is (A-B) uu(B-A)

    Text Solution

    |

  15. If A and B are any two sets then A nn (A uu B)' =

    Text Solution

    |

  16. Let f: N rarr N be defined by f(x)=x^(2)+x+1 then f is

    Text Solution

    |

  17. The image of the interval [-1,3] under the mapping f: R rarr R given b...

    Text Solution

    |

  18. The number of functions that can be formed from the set A={a, b, c, d}...

    Text Solution

    |

  19. Let R= { (3, 3), (6, 6), (9, 9), (12, 12), (6, 12), (3,9), (3, 12), (...

    Text Solution

    |

  20. Let Y={1,2,3,4,5}, A={1,2}, B={3,4,5} and phi denotes the null set. ...

    Text Solution

    |