Home
Class 12
MATHS
Select the correct match...

Select the correct match

A

`f : [1, oo) rarr [1, oo), f(x) = 2^(x(x-1)) rArr f^(-1)(x) = (1)/(2) (1 +- sqrt(1 + 4 log_(2) x))`

B

`f : [-1, oo] rarr [-1, oo], f(x) = (x + 1)^(2) -1` and `f(x) = f^(-1)(x)` then x = {0, 1} only

C

`f : R rarr R, f(x) = 3x + 5` then `f^(-1) (x) = (x-5)/(3)`

D

`f : [1, oo) rarr [2, oo), f(x) = x + (1)/(x)`, then `f^(-1)(x) = (x-sqrt(x^(2) - 4))/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - C) Objective Type Questions (More than one option are correct)|17 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - D) Linked Comprehension Type Questions|17 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - A) Objective Type Questions (one option is correct)|102 Videos

  • PROBABILITY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION-J (aakash challengers questions)|11 Videos

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - J) Aakash Challengers|11 Videos

Similar Questions

Explore conceptually related problems

Select a correct match:

Select a correct match

Select a correct match

Select correct matching :-

Select out the correct match

Select correct matched pair/ pairs:

Select correct match :

Select correct match:

Select correct match

Match the following and select the correct option The correct match is

AAKASH INSTITUTE ENGLISH-RELATIONS AND FUNCTIONS -Assignment (Section - B) Objective Type Questions (one option is correct)
  1. Let f(x) = ax^(3) + bx^(2) + cx + d, a != 0, where a, b, c, d in R. If...

    Text Solution

    |

  2. Let A = {1, 2, 3}, B = {a, b, c}, C {a(1), b(1), c(1), d(1), e(1)} an...

    Text Solution

    |

  3. Select the correct match

    Text Solution

    |

  4. Let f : [2, 4) rarr [1, 3) be a function defined by f(x) = x - [(x)/(2...

    Text Solution

    |

  5. Identify the correct option

    Text Solution

    |

  6. Which of the following function is an even function ?

    Text Solution

    |

  7. A function f(x) given by f(x)={{:(x^(2)sin""(pix)/(2), |x| lt1),(x|...

    Text Solution

    |

  8. Let f(x+y) + f(x-y) = 2f(x)f(y) for x, y in R and f(0) != 0. Then f(x)...

    Text Solution

    |

  9. Let a real valued function f satisfy f(x + y) = f(x)f(y)AA x, y in R a...

    Text Solution

    |

  10. Let f: R rarr R be a function defined as f(x)=[(x+1)^2]^(1/3)+[(x-1)^2...

    Text Solution

    |

  11. Let f(x) = |sinx| + |cosx|, g(x) = cos(cosx) + cos(sinx) ,h(x)={-x/2...

    Text Solution

    |

  12. Identify the incorrect statement

    Text Solution

    |

  13. Let f(x)=x^2 and g(x)=2^x . Then the solution set of the equation fo...

    Text Solution

    |

  14. Let f(x) = tan x, x in (-pi/2,pi/2)and g(x) = sqrt(1-x^2) then g(f(x)...

    Text Solution

    |

  15. Let g(x) be a polynomial function satisfying g(x).g(y) = g(x) + g(y) +...

    Text Solution

    |

  16. If the functions f, g and h are defined from the set of real numbers R...

    Text Solution

    |

  17. Range ofthe function f(x)=cos(Ksin x) is [-1,1], then the least positi...

    Text Solution

    |

  18. Consider that the graph of y = f(x) is symmetrie about the lines x =...

    Text Solution

    |

  19. The domain of f(x) is (0,1) .Then the domain of (f(e^x)+f(1n|x|) is (a...

    Text Solution

    |

  20. If f(x) = 4^(x) - 2^(x + 1) + 5, then range of f(x) is

    Text Solution

    |