Home
Class 12
MATHS
f:R->R defined by f(x) = x^2+5...

`f:R->R` defined by `f(x) = x^2+5`

A

`(x+5)^((1)/(3))`

B

`(x-5)^((1)/(3))`

C

`(5-x)^((1)/(3))`

D

`5-x`

Text Solution

Verified by Experts

The correct Answer is:
B
Given that, `f(x)= x^(3) +5`
Let ` " " y=x^(3)+5 implies x^(3)=y-5`
`x=(y-5)^((1)/(3))implies f(x)^(-1)=(x-5)^((1)/(3))`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    NCERT EXEMPLAR|Exercise Probability|107 Videos

  • THREE DIMENSIONAL GEOMETRY

    NCERT EXEMPLAR|Exercise Three Dimensional Geometry|46 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 f: R->R is defined by f(x)=3x+2 , find f(f(x)) .

f:R rarr R defined by f(x)=x^(2)+5

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

The function f: R to R defined by f(x) = 4x + 7 is

Let f: R to R be defined by f(x) = 5^(2x)/(5^(2x) + 5) , then f(x) + f(1-x) is equal to

Let f : R to R be defined by f(x) = x^(3) + x^(2) + 5x + 2 sin x , Then

Let f:R to be defined by f(x)=3x^(2)-5 and g : R to R by g(x)=(x)/(x^(2))+1 then gof is

If : R rarr R defined by f(x) = x |x | , then f(x) is

NCERT EXEMPLAR-RELATIONS AND FUNCTIONS-Relations And Functions
  1. If f:R to R be defined by f(x)=3x^(2)-5 and g: R to R by g(x)= (x)/(x...

    Text Solution

    |

  2. Which of the following functions from Z to itself are bijections? a

    Text Solution

    |

  3. f:R->R defined by f(x) = x^2+5

    Text Solution

    |

  4. If f:A to B and g:B to C be the bijective functions, then (gof)^(-1) i...

    Text Solution

    |

  5. Let f: R-{3/5}->R be defined by f(x)=(3x+2)/(5x-3) . Then

    Text Solution

    |

  6. If f(x) is defined on [0, 1] by the rule f(x)={x, if x is ration...

    Text Solution

    |

  7. If f : [2,oo) to R be the function defined by f(x)=x^(2)-4x+5, then th...

    Text Solution

    |

  8. Let f:N rarr R be the function defined by f(x)=(2x-1)/2 and g:Q rarr Q...

    Text Solution

    |

  9. If f: R to R be defined by f(x)={(2x:xgt3),(x^(2):1lt x le 3),(3x:x le...

    Text Solution

    |

  10. If f:R to R be given by f(x)= tan x, then f^(-1)(1) is

    Text Solution

    |

  11. Let the relation R be defined in N by a R b, if 2a + 3b = 30. Then R =...

    Text Solution

    |

  12. If the relation R be defined on the set A={1,2,3,4,5} by R={(a,b): |a^...

    Text Solution

    |

  13. If the functions f and g are given by f={(1,\ 2),\ (3,\ 5),\ (4,\ 1)} ...

    Text Solution

    |

  14. If f:R to R be defined by f(x) = (x)/(sqrt(1 +x^(2) )), then (fofof)...

    Text Solution

    |

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

    Text Solution

    |

  16. State true or false for the given statement : Let R = { (3, 1), (1,...

    Text Solution

    |

  17. If f:R to R be the function defined by f(x) = sin(3x+2) AA x in R. Th...

    Text Solution

    |

  18. Every relation which is symmetric and transitive is also reflexive.

    Text Solution

    |

  19. An integer m is said to be related to another integer n if m is a m...

    Text Solution

    |

  20. Let A = {0, 1} and the set of all natural numbers.Then the mapping f: ...

    Text Solution

    |