Home
Class 12
MATHS
Let f: R rarr R be defined by f(x)= (1)/...

Let `f: R rarr R` be defined by `f(x)= (1)/(x) AA x inR`, then f is _______

A

one-one

B

onto

C

bijective

D

f is not defined

Text Solution

Verified by Experts

The correct Answer is:
D
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

Let f:R to R be defined by f(x) = 1/x AA x in R , then f is ________

Let, f: R rarr R be defined by f(x) = 2x + cos x, then f

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

Let f: N rarr N be defined by f(x)=x^(2)+x+1 then f is

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

Let f : R rarr R be defined by f(x)=2 x+|x| then f(2 x)+f(-x)-f(x)=

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

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

HIMALAYA PUBLICATION-SETS,RELATIONS AND FUNCTIONS-QUESTION BANK
  1. The domain and range of the function f given by : f(x)=2-|x-5| is :

    Text Solution

    |

  2. The domain for which the function defined by f(x) = 3x^2-1 and g(x) = ...

    Text Solution

    |

  3. Let f: R rarr R be defined by f(x)= (1)/(x) AA x inR, then f is

    Text Solution

    |

  4. Let f : R rarr R be defined by f(x) = 3x^2-5 and g : R rarr R by g(x...

    Text Solution

    |

  5. Which of the following functions from Z into Z is a bijection?

    Text Solution

    |

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

    Text Solution

    |

  7. Let f: A rarr B and g : B rarr C be the bijective funtions. Then (gof...

    Text Solution

    |

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

    Text Solution

    |

  9. Let,f : [0,1] rarr [0, 1] be defined by f(x) = {(x, if x \ is \ rat...

    Text Solution

    |

  10. Let f : [2, oo) rarr R be the function defined by f(x) = x^2-4x+5. The...

    Text Solution

    |

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

    Text Solution

    |

  12. Let f: RrarrR be defined by f(x)={(2x , xgt3),(x^(2), 1ltxle3),(2x,xle...

    Text Solution

    |

  13. Let, f : R rarr R be given by f(x) = tan x. Then f^-1(1)=

    Text Solution

    |

  14. If a set has n elements then the total number of subsets of A is

    Text Solution

    |

  15. The number of non empty subsets of the set {1,2,3,4} is

    Text Solution

    |

  16. If A={1,2,3,4,5}, then the number of proper subsets of A is

    Text Solution

    |

  17. Sets A and B have 3 and 6 elements respectively. What can be the minim...

    Text Solution

    |

  18. If the sets A has p elements, B has q elements, then number of element...

    Text Solution

    |

  19. If A={a,b,c}, B={b,c,d} and C={a,d,c}, then (A-B)xx (B nn C)=

    Text Solution

    |

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

    Text Solution

    |