Home
Class 12
MATHS
If f:RtoR is defined by f(x)=x^(3) then ...

If `f:RtoR` is defined by `f(x)=x^(3)` then `f^(-1)(8)=`

A

`(2,2 w, 2 w^(2))`

B

`(2)`

C

(2,2)

D

(2,-2)

Text Solution

Verified by Experts

The correct Answer is:
C
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 function f:RtoR is defined by f(x)=3x-4 then f^(-1)(x) is given by

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

Let f : R to R be defined by f(x)=x^(4) , then

Let f: R to R be defined by f(x) = x^(4) , then

Let f:RtoR be a mapping defined by f(x)=x^(3)+5 , then f^(-1)(x) is equal to :

If f : R to R is defined by f(x) = x/(x^(2)+1) find f(f(2)) .

f:R->R is defined as f(x)=2x+|x| then f(3x)-f(-x)-4x=

Let f:RtoR be defined by f(x)=x^(2)+1 , then the value of f^(-1)(17)andf^(-1)(-3) respectively are :

Let f : R rarr R be a function defined by f(x) = x^3 + 5 . Then f^-1(x) is

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

HIMALAYA PUBLICATION-SETS,RELATIONS AND FUNCTIONS-QUESTION BANK
  1. If f = R rightarrow R is defined by f(x) = |x|, then,

    Text Solution

    |

  2. A set A has 5 element. Then the maximum number of relations on A (incl...

    Text Solution

    |

  3. If f:RtoR is defined by f(x)=x^(3) then f^(-1)(8)=

    Text Solution

    |

  4. R is a relation on N given by R={(x,y)|4x+3y=20} . Which of the fol...

    Text Solution

    |

  5. On the set Z of all integers define f : Z-(0) rarr Z as follows f(n)...

    Text Solution

    |

  6. Define a relation R on A ={1,2,3,4} as xRy iff x divides y. Then R is ...

    Text Solution

    |

  7. Let R be an equivalence relation defined on a set containing 6 element...

    Text Solution

    |

  8. The range of the function f(x) = sin [x], -(x)/(4) lt x lt (x)/(4) whe...

    Text Solution

    |

  9. The value of alpha(ne0) for which the function f(x)=1+alphax is the in...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |