Home
Class 11
MATHS
If f((ax+b)/(x-a))=x, find f(x) Also fin...

If `f((ax+b)/(x-a))=x,` find `f(x)` Also find `f^-1(x)`.

Text Solution

Verified by Experts

The correct Answer is:
`f^-1(x)=f(x)=(ax+b)/(x-a)`
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    MARVEL PUBLICATION|Exercise MCQs|139 Videos

  • SEQUENCES AND SERIES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|81 Videos

  • STRAIGHT LINE

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQS|160 Videos

Similar Questions

Explore conceptually related problems

If int(ax+b^(2))dx=f(x)+c, find f(x)

If f'(x)=xe^(x) and f(0)=1, find f(x)

If f(x-1)=x^(2) , then find f(x+1)

If f(x)=(x-1)/(x+1), then find f{f(x)}

If f(x)=(x-1)/(x+1), find f(2x) in terms of f(x)

If f((ax+b)/(x-a))=x, then f^(-1)(x)= (a) x (b) (bx+a)/(x-b)( c) f(x)

If f(x) =(ax-b)/(bx-a)=y Find the value of f(y).

If f'(x)=x+b,f(1)=5,f(2)=13, find f(x)

If f(x)=e^(x)(x^(2)+1) then find f'(x)

If f(x)=(1-x)/(1+x), find f(cos theta)

MARVEL PUBLICATION-SETS, RELATIONS AND FUNCTIONS-MCQs
  1. If f((ax+b)/(x-a))=x, find f(x) Also find f^-1(x).

    Text Solution

    |

  2. If A={w,o,l, f}, B={f,l,o,w}, C={f,o,w,l} and D=({f,o,l,l,o,w}, then

    Text Solution

    |

  3. If A={x|x in R,x ge3} and{x|x inR,x lt4}, then: A capB=

    Text Solution

    |

  4. If A={1,2,3},B={2,4,6,8} andC={2,4,5,6}, then: a cap(BcupC)=

    Text Solution

    |

  5. If A={x:x" is a multiple of 3"} and B={x:x" is a multiple of 5"}. Th...

    Text Solution

    |

  6. If aN={ax|x in N}, then: 3Ncap7N=

    Text Solution

    |

  7. Find the smallest set A such that Auu{1,2}={1,2,3,5,9}dot

    Text Solution

    |

  8. If A={2,3},B={4,5}andC={5,6}, then n{(AxxB)uu(BxxC)} is

    Text Solution

    |

  9. If A = {1,2,3}, B = {3,4} , C = {4,5,6}, then number of elements in t...

    Text Solution

    |

  10. If A={x|x^2-5x+6=0}, then the power set of A is

    Text Solution

    |

  11. The number of non-empty subset of {0,1,2,3} is

    Text Solution

    |

  12. If A={0,1,2,3,4}, then the number of proper subsets of A is

    Text Solution

    |

  13. Which of the following is the empty set

    Text Solution

    |

  14. If A={4^(n)-3n-1:n in N) and B={9(n-1):n in N} then

    Text Solution

    |

  15. Two finite sets have m and n elements. The total number of subsets of ...

    Text Solution

    |

  16. If A={1,2,3,4,5} andB={2,3,6,7}, then the number of elements in the se...

    Text Solution

    |

  17. If A={1,2,3},B={4,5,6} and C={1,2}, then: (A-B)xx(AcapC)=

    Text Solution

    |

  18. If A and B are any two sets then A-B=AnnB'

    Text Solution

    |

  19. If A and B are any two sets then: (AcupB)-(AcapB)=

    Text Solution

    |

  20. If A and B are two such that AcupB=AcapB, then

    Text Solution

    |

  21. If X and Y are any two sets, then: Xcap(XcupY)=

    Text Solution

    |