Home
Class 11
MATHS
If f:R->R be defined by f(x)=x^2+1, then...

If `f:R->R` be defined by `f(x)=x^2+1`, then find `f^(-1)(17)` and `f^(-1)(-3)`.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    RD SHARMA ENGLISH|Exercise All Questions|100 Videos
  • GEOMETRIC PROGRESSIONS

    RD SHARMA ENGLISH|Exercise All Questions|256 Videos

Similar Questions

Explore conceptually related problems

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

Let f: R->R be defined by f(x)=x^4 , write f^(-1)(1) .

If f: R->R is defined by f(x)=x^2 , write f^(-1)(25) .

If f: R->R is defined by f(x)=x^2 , write f^(-1)(25) .

If f : R to R defined by f ( x) = x^(2) + 1 , then find f^(-1) (-3)

If f: R to R defined as f(x)=3x+7 , then find f^(-1)(-2)

If f: R->R is defined by f(x)=3x+2 , find f(f(x)) .

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

If f: R ->R is defined by f(x) = x^2- 3x + 2 , find f(f(x)) .

RD SHARMA ENGLISH-FUNCTIONS-All Questions
  1. Let X={1,2,3,4}a n d\ Y={1,5,9, 11 , 15 , 16} Determine which of the ...

    Text Solution

    |

  2. Let A = {1, 2, 3, 4}, B = {1, 5, 9, 11 , 15 , 16}andf = {(1, 5), (2, 9...

    Text Solution

    |

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

    Text Solution

    |

  4. If A = {p,q,r, s} and B = {1, 2, 3}, find which of the following is n...

    Text Solution

    |

  5. If A = {p,q,r, s} and B = {1, 2, 3}, find which of the following is n...

    Text Solution

    |

  6. If A = {p,q,r, s} and B = {1, 2, 3}, find which of the following is n...

    Text Solution

    |

  7. If A = {p,q,r, s} and B = {1, 2, 3}, find which of the following is n...

    Text Solution

    |

  8. Let A = {9, 10 , 11 , 12 , 13}and let f : A ->Nbe defined by f(n) = th...

    Text Solution

    |

  9. The relation f is defined by f(x)={x^2,0lt=xlt=3 3x ,3lt=xlt=10The rel...

    Text Solution

    |

  10. If f(x)=x^2, find (f(1. 1)-f(1))/((1. 1-1))

    Text Solution

    |

  11. If f(x)=3x^4-5x^2+9, find f(x-1) .

    Text Solution

    |

  12. If f(x)=1/(2x+1),\ x!=-1/2,\ then show that f(f(x))=(2x+1)/(2x+3) , p...

    Text Solution

    |

  13. If f(x) = x^2 - 3x + 4, then find the values of x satisfying the equat...

    Text Solution

    |

  14. If f(x)=(x-a)^2(x-b)^2, find f(a+b)

    Text Solution

    |

  15. If f(x)=(x+1)/(x-1) , show that f{f(x)}=xdot

    Text Solution

    |

  16. If f(x)= {(x^2,"when" ,xlt0),( x ," when", 0lexlt1),( 1/x ," when", ...

    Text Solution

    |

  17. If f(x)=(2x)/(1+x^2)\ , show that f(tantheta)=sin2theta)

    Text Solution

    |

  18. Find the domain of each of the following real valued function: f(x)=1/...

    Text Solution

    |

  19. Find the domain of each of the following real valued function: f(x)=(x...

    Text Solution

    |

  20. Find the domain of each of the following real valued function: f(x)=(2...

    Text Solution

    |