Home
Class 12
MATHS
Find the image set of the domain of each...

Find the image set of the domain of each of the following functions :
`f:RR to RR` defined by, f(x) = cosecx for all ` x in RR`
`(pi ne n pi , n in ZZ)`

Text Solution

Verified by Experts

The correct Answer is:
`{f(x)inRR:|f(x)| ge1}`
Promotional Banner

Topper's Solved these Questions

  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Short Answer Type Question|60 Videos

  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Long Answer Type Questions|72 Videos

  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Multiple choice question|28 Videos

  • REAL NUMBERS

    CHHAYA PUBLICATION|Exercise Exercise (Long Answer Type Questions)|10 Videos

  • RELATION AND FUNCTIONS

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive|3 Videos

Similar Questions

Explore conceptually related problems

Find the image set of the domain of each of the following functions : f:RRto RR defined by, f(x) = tan x for all x inRR

Find the image set of the domain of each of the following functions : f:RR to RR by f(x) = cos x for all x in RR

Find the image set of the domain of each of the following functions : f:RR toRR " given by", f(x)= sinx, "for all "x in RR,

Find the image set of the domain of each of the following functions : g:RR to RR given by g(x) = x^2 +3" for all "x in RR

Find the image set of the domain of each of the following functions : g:RR to RR defined by, g(x) = x^2+2, for all x in RR, where RR is the set of real numbers.

Find the image set of the domain of each of the following functions : h:RR^+ to RR defined by h(x) = log_ex, " for all " x in RR^+ where RR^+ is the set of positive real numbers.

Prove that the function f: RR rarr RR defined by, f(x)=sin x , for all x in RR is neither one -one nor onto.

If the function f: R to R is defined by f(x) =(x^(2)+1)^(35) for all x in RR then f is

The largest domain on which the function f: RR rarr RR defined by f(x)=x^(2) is ___

Let t the function f:RR to RR be defined by, f(x)=a^x(a gt0 ,a ne1). Find range of f

CHHAYA PUBLICATION-RELATION AND MAPPING -Very short answer type questions
  1. Let A={0,1},B={2,6},andf:A to B be given by, f(x) =6-4x and g:A to B b...

    Text Solution

    |

  2. Find the image set of the domain of each of the following functions : ...

    Text Solution

    |

  3. Find the image set of the domain of each of the following functions : ...

    Text Solution

    |

  4. Find the image set of the domain of each of the following functions : ...

    Text Solution

    |

  5. Find the image set of the domain of each of the following functions : ...

    Text Solution

    |

  6. Find the image set of the domain of each of the following functions : ...

    Text Solution

    |

  7. Show that, f={(1,1),(-1,-5),(2,4),(3,7)} defines a mapping. If this ma...

    Text Solution

    |

  8. If the mapping {(1,2),(-1,6),(2,3),(3,6) is descibed by the rule f(x)=...

    Text Solution

    |

  9. Let f be subset of ZZxxZZ such that f={(xy,x-y):x,y inZZ} is f a mappi...

    Text Solution

    |

  10. If A={1,2,3,4,5}, show that the relation f={(x,y):x+y=6} for all x,y i...

    Text Solution

    |

  11. Let A = {1,2,3,4} and B = {7,8,9} , then which of the following relati...

    Text Solution

    |

  12. Let A = {1,2,3,4} and B = {7,8,9} , then which of the following relati...

    Text Solution

    |

  13. Let A = {1,2,3,4} and B = {7,8,9} , then which of the following relati...

    Text Solution

    |

  14. Let A = {1,2,3,4} and B = {7,8,9} , then which of the following relati...

    Text Solution

    |

  15. Let f:R to R and g:R to R is define by f(x)=2x+3 and g(x)=3x-2, then f...

    Text Solution

    |

  16. Given y = 4 for all real values of x, Can y be regarded as a function ...

    Text Solution

    |

  17. The volume of an open tank with a square base of side x m is 40m^3. Ex...

    Text Solution

    |

  18. Given f(x) = 3x - 9 , find f(-1), f(3), f(x+h) and f(x^2-1).

    Text Solution

    |

  19. If f(x-1) = 7x - 5 find f(x) and f(x+2).

    Text Solution

    |

  20. If f(x+3) = 2x^2-3x-1, find the value of f(x+1).

    Text Solution

    |