Home
Class 12
MATHS
If the function f: C->C be defined by f(...

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

Text Solution

Verified by Experts

(i) for `f^(−1)(9)`
` x^2−5x+9=9`
` x(x−5)=0`
` x=0,5`
Hence `f^(−1)(9)=0,5`
(ii) for `f^(−1)(8)`
`X^2+5x+9=8`
` X^2+5x+1=0`
` ...
Promotional Banner

Topper's Solved these Questions

  • DIRECTION COSINES AND DIRECTION RATIOS

    RD SHARMA|Exercise Solved Examples And Exercises|67 Videos

  • HIGHER ORDER DERIVATIVES

    RD SHARMA|Exercise Solved Examples And Exercises|176 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) .

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

If f: C->R is defined by f(x)=x^4 , write f^(-1)(1) .

Let the function f be defined by f(x)=((2x+1)/(1-3x)) then f^(-1)(x) is

If f: C->C is defined by f(x)=(x-2)^3 , write f^(-1)(-1) .

A function f defined by f(x)=In(sqrt(x^(2)+1-x)) is

Let C denote the set of all complex numbers. A function f: C->C is defined by f(x)=x^3 . Write f^(-1)(1) .

If the function f:[1,oo)to[1,oo) is defined by f(x)=2^(x(x-1)) then f^(-1) is

A function f is defined by f(x) = x^(2) + 1 . Find f(0), f(5), f(10).

RD SHARMA-FUNCTION-Solved Examples And Exercises
  1. If f: Q->Q is given by f(x)=x^2 , then find f^(-1)(9)

    Text Solution

    |

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

    Text Solution

    |

  3. If the function f: C->C be defined by f(x)=x^2-1 , find f^(-1)(9) and ...

    Text Solution

    |

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

    Text Solution

    |

  5. If A={0,\1,\ 2,\ 3,} , B={1,\ 3,\ 5,\ 7,\9} and f: A->B is given by f(...

    Text Solution

    |

  6. Let S = {1, 2, 3}. Determine whether the functions f : S->Sdefined as ...

    Text Solution

    |

  7. Consider f : {1, 2, 3}->{a , b , c}given by f(1) = a, f(2) = band f(3)...

    Text Solution

    |

  8. If f: Rvec is defined by f(x)=2x+7. Prove that f is a bijection. Also,...

    Text Solution

    |

  9. If f: R->R is a bijection given by f(x)=x^3+3 , find f^(-1)\ (x) .

    Text Solution

    |

  10. Let f: R->R be defined by f(x)=3x-7 . Show that f is invertible and he...

    Text Solution

    |

  11. Show that f: R-cR0[0] given by f(x)= is invertible and it is inverse o...

    Text Solution

    |

  12. Let f: Nuu{0}->Nuu{0} be defined by f(n)={n+1,\ if\ n\ i s\ even\,\ \ ...

    Text Solution

    |

  13. Prove that the function f: R->R defined as f(x)=2x+3 is invertible. ...

    Text Solution

    |

  14. Show that the function f: R ->R is given by f(x)=1+x^2 is not invertib...

    Text Solution

    |

  15. Show that f: R-{-1}->R-{1} given by f(x)=x/(x+1) is invertible. Also, ...

    Text Solution

    |

  16. Show that f: [-1, 1] ->R, given by f(x)=x/((x+2)is one- one . Find th...

    Text Solution

    |

  17. Let f: Rvec\ be defined as f(x)=10 x+7. Find the function g: RvecR su...

    Text Solution

    |

  18. If the function f:[1,oo)->[1,oo) is defined by f(x)=2^(x(x-1)), then ...

    Text Solution

    |

  19. The value of parameter alpha, for which the function f(x) = 1+alpha x,...

    Text Solution

    |

  20. Let f"":""NvecY be a function defined as f""(x)""=""4x""+""3 , wher...

    Text Solution

    |