Home
Class 12
MATHS
If f(x)=-4-(x-7)^3 , write f^(-1)(x)dot...

If `f(x)=-4-(x-7)^3` , write `f^(-1)(x)dot`

Text Solution

Verified by Experts

`f(x)=4-(x-7)^{3}`

Let `y=f(x)`

So, `x=f^{-1}(y)`

`y=f(x)`

...
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 f(x)=[4-(x-7)^(3)] ,then f^(-1)(x) is

If f(x) = [4-(x-7)^(3)], then f^(-1)(x)= ………… .

If 'f' is an invertible function,defined as f(x)=(3x-4)/(5), write f^(-1)(x)

If f: R->R is defined by f(x)=10 x-7 , then write f^(-1)(x) .

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

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

If f(x)=2x^(3)+7x-5 then f^(-1)(4) is :

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

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

If f(x)=(7)^(x^3+3x) then find f^'(x)

RD SHARMA-FUNCTION-Solved Examples And Exercises
  1. Let f: RrarrR and g: RrarrR be two functions such that fog(x)=sin...

    Text Solution

    |

  2. Let R be the set of real numbes. If f: RvecR ;f(x)=x^2 and g: RvecR ;g...

    Text Solution

    |

  3. If f(x)=-4-(x-7)^3 , write f^(-1)(x)dot

    Text Solution

    |

  4. If f:{5,6}vec{2,3}a n dg:{2,3}vec{5,6} are given by f={(5,2),(6,3)} an...

    Text Solution

    |

  5. If a function g={(1,1),(2,3),(3,5),(4,7)} is described by g(x)=alphax+...

    Text Solution

    |

  6. Show that f: R-[0]vecR0[0] given by f(x)=3/x is invertible and it is i...

    Text Solution

    |

  7. Let A={1,2,..., n} and B={a , b }. Then number of surjections from A...

    Text Solution

    |

  8. If f: Rvec(-1,1) is defined by f(x)=-(x|x|)/(1+x^2),t h e nf^(-1)(x) e...

    Text Solution

    |

  9. Let f: ZvecZ be defined by f(n)=3n for all n in Z and g: Zvec be defi...

    Text Solution

    |

  10. Let A={x in R :0lt=xlt=1}dot If f: AvecA is defined by f(x)={x ,ifx Q...

    Text Solution

    |

  11. Let A=[-1,1]dot Then, discuss whether the following functions from A t...

    Text Solution

    |

  12. Let R be a relation on the set A of ordered pairs of positive integ...

    Text Solution

    |

  13. Let A be a finite set. If f: AvecA is an onto function, show that f is...

    Text Solution

    |

  14. Show that the function f: R-{3}->R-{1} given by f(x)=(x-2)/(x-3) is ...

    Text Solution

    |

  15. Show that the function f: Rvec given by f(x)=x^3+x is a bijection.

    Text Solution

    |

  16. Let f: Nuu{0}vecNuu{0} be defined by f{n+1,if n is even n-1,if n is od...

    Text Solution

    |

  17. Let f: N-[1]vecN be defined by, f(n)= the highest prime factor ofn . S...

    Text Solution

    |

  18. Let A={1,2} . Find all one-to-one function from A to A.

    Text Solution

    |

  19. Let f: Rvec and g: RvecR be defined +1a n dg(x)=x-1. Show that fog=gof...

    Text Solution

    |

  20. Verify assoiativity for the following three mappings : f: NvecZ0...

    Text Solution

    |