Home
Class 11
MATHS
Statement-1: f : R -{0} to R-{0} defined...

Statement-1: `f : R -{0} to R-{0}` defined by `f(x) =1/x` is bijective
Statement-II: if `f: R^(+) to R` defined by `f(x) = logx`, then `f^(-1)(x)=e^(x)`. Which of the following is true.

A

only I

B

only II

C

both I & II

D

neither I nor II

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE -II|165 Videos

  • ERRORS AND APPROXIMATIONS

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTION|15 Videos

  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise PRACTICE SHEET Exercise-I (Level-II) (Straight Objective Type Questions)|13 Videos

Similar Questions

Explore conceptually related problems

f: R to R defined by f (x) = x ^(2). then f^-1(x)

If f: R to [0, infty) defined by f(x) = 10^(x) then f^(-1)(x) =

If f: R to R is defined by f(x) = 2x+|x| , then f(3x) -f(-x)-4x=

f : R to (0, oo) defined by f (x) = 2 ^(x) . then f ^-1(x)

f : R to (0, oo) defined by f (x) = log _(2) (x). then f ^-1(x)

f : R to (0, oo) defined by f (x) = 5 ^(x). then f ^-1(x)

If f:[0,infty) to R defined by f(x) = x^(2) , then f is

If f from R into R defined by f(x)=x^(3)-1, then f^(-1){-2, 0, 7}=

AAKASH SERIES-FUNCTIONS -PRACTICE EXERCISE
  1. If f: R to R defined by f(x) =x for x ge 2 and f(x) =5x-2 for x lt 2, ...

    Text Solution

    |

  2. If f:[0, oo) to [0,oo) is defined by f (x) = (x)/(1+ x) , then f is

    Text Solution

    |

  3. Statement-1: f : R -{0} to R-{0} defined by f(x) =1/x is bijective ...

    Text Solution

    |

  4. If A = {1, 2, 3,4} and B = {x, y, z, w} , then a) Number of mappings...

    Text Solution

    |

  5. Observe the following Lists: Then the match for List -1 from Lis...

    Text Solution

    |

  6. The domain of Cos^(-1).(x-3)/(2)-log(10(4-x) is

    Text Solution

    |

  7. Assertion (A) : If f : R to R defined by f(x) =sin^(-1)(x/2) + log(10)...

    Text Solution

    |

  8. Domain of tan^(-1)3x is:

    Text Solution

    |

  9. The domain of f(x) = (sin^(-1)x)/([x]) is:

    Text Solution

    |

  10. The domain of (tanh^(-1)(3x-2))/sqrt(16-9x^(2)) is

    Text Solution

    |

  11. I : Every strictlyy monotonic function is one one. II : The function...

    Text Solution

    |

  12. If f: C to R such that f(z) =Re(z), then f is:

    Text Solution

    |

  13. If f: C to R such that f(z) =Re(z), then f is:

    Text Solution

    |

  14. A real valued function f(x) satisfies the functional equation f(x-y) =...

    Text Solution

    |

  15. The function f:NrarrZ defined by f(n)=(n-1)/(2) when n is odd and f(n)...

    Text Solution

    |

  16. Let f(x) = sinx + cosx, g(x) =x^(2)-1. Then g(f(x)) is invertible for ...

    Text Solution

    |

  17. The domain of the function: f(x) = (sin^(-1)(x-3))/sqrt(9-x^(2)) is:

    Text Solution

    |

  18. Let f:(-1,1) to B, be a function defined by f(x) = tan^(-1)((2x)/(1-x^...

    Text Solution

    |

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

    Text Solution

    |

  20. Let the function f: R to R be defined by f(x) = 2x + sinx for x in R, ...

    Text Solution

    |