Home
Class 11
MATHS
Which of the following functions is the ...

Which of the following functions is the inverse of itself? (a) `f(x)=(1-x)/(1+x)` (b) `f(x)=5^(logx)` (c) `f(x)=2^(x(x-1))` (d) None of these

A

`f(x)=(1-x)/(1+x)`

B

`g(x)=5^("log x")`

C

`h(x)=2^(x(x-1))`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos
  • FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|10 Videos
  • DISCRETE PROBABILITY DISTRIBUTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|40 Videos
  • HYPERBOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos

Similar Questions

Explore conceptually related problems

Which of the following function is (are) even, odd, or neither? (a). f(x)=x^2sinx (b). f(x)=log((1-x)/(1+x)) (c). f(x)=log(x+sqrt(1+x^2)) (d). f(x)=(e^x+e^(-x))/2

If the graph of y=f(x) is symmetrical about the lines x=1a n dx=2, then which of the following is true? (a) f(x+1)=f(x) (b) f(x+3)=f(x) (c) f(x+2)=f(x) (d) None of these

Which of the following function from Z to itself are bijections? f(x)=x^3 (b) f(x)=x+2 f(x)=2x+1 (d) f(x)=x^2+x

Which of the following function from Z to itself are bijections? f(x)=x^3 (b) f(x)=x+2 f(x)=2x+1 (d) f(x)=x^2+x

Let f(x)=|x-1|dot Then (a) f(x^2)=(f(x))^2 (b) f(x+y)=f(x)+f(y) (c) f(|x|)=|f(x)| (d) none of these

Let f(x)=|x-1|dot Then (a) f(x^2)=(f(x))^2 (b) f(x+y)=f(x)+f(y) (c) f(|x|)=|f(x)| (d) none of these

Examine the following functions for continuity. (a) f(x)=x-5 (b) f(x)=1/(x-5) (c) f(x)=(x^2-25)/(x+5) (d) f(x)=|x-5|

Which of the following functions from A={x in R :-1lt=xlt=1} to itself are bijections? f(x)=|x| (b) f(x)=sin((pix)/2) (c) f(x)=sin((pix)/4) (d) none of these

Find the domain of the following functions (a) f(x)=(1)/(sqrt(x-2)) " (b) " f(x)=(1)/(x^(3)-x) (c ) f(x)= root(3)(x^(2)-2)

For which of the following functions f(0) exists such that f(x) is continuous at f(x)=1/((log)_e|x|) b. f(x)=1/((log)_"e"|x|) c. f(x)=x sinpi/x d. f(x)=1/(1+2^(cot x))

OBJECTIVE RD SHARMA ENGLISH-FUNCTIONS-Exercise
  1. If f(x)=2^(x),"then"f(0),f(1),f(2)..."are in"

    Text Solution

    |

  2. If the function f: RvecA given by f(x)=(x^2)/(x^2+1) is surjection, th...

    Text Solution

    |

  3. Which of the following functions is the inverse of itself? (a) f(x)=(1...

    Text Solution

    |

  4. If f(x) =(x-1)/(x+1)," then f(2x) is:"

    Text Solution

    |

  5. If f(x)=log((1+x)/(1-x))a n dg(x)=((3x+x^3)/(1+3x^2)) , then f(g(x)) i...

    Text Solution

    |

  6. If f(x)=a^x, which of the following equalities do not hold ? (i) f(...

    Text Solution

    |

  7. The interval in which the function y = f(x) = (x-1)/(x^2-3x+3) transfo...

    Text Solution

    |

  8. If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to ...

    Text Solution

    |

  9. If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to ...

    Text Solution

    |

  10. Which of the following functions is not an are not an injective map(s)...

    Text Solution

    |

  11. If f(x)={x ,xi sr a t ion a l1-x ,xi si r r a t ion a l ,t h e nf(f(x)...

    Text Solution

    |

  12. Let f (x) =x and g (x) = |x| for all . Then the function satisfying ...

    Text Solution

    |

  13. about to only mathematics

    Text Solution

    |

  14. If f(x)=(ax^(2)+b)^(3), the function g such that f(g(x))=g(f(x)), is g...

    Text Solution

    |

  15. If a function f:[2,oo)toR is defined by f(x)=x^(2)-4x+5, then the rang...

    Text Solution

    |

  16. The function f : R -> R is defined by f (x) = (x-1) (x-2) (x-3) is

    Text Solution

    |

  17. Let A={x,y,z}=B={u,v,w) and f:A to B be defined by f (x)=u, f(y)=v, f(...

    Text Solution

    |

  18. If f:R->R be defined by f(x)=x^2+1, then find f^(-1)(17) and f^(-1)(-3...

    Text Solution

    |

  19. The function f: NvecN(N is the set of natural numbers) defined by f(n)...

    Text Solution

    |

  20. The composite mapping fog of the maps f:R to R , f(x)=sin x and g:R to...

    Text Solution

    |