Home
Class 12
MATHS
Let f: R–>R is defined as f(x)=x^2 is ne...

Let` f: R–>R` is defined as `f(x)=x^2` is neither one one nor onto

Promotional Banner

Topper's Solved these Questions

  • PSEB SAMPLE QUESTIONS

    JMD PUBLICATION|Exercise EXAMPLE|51 Videos

  • SOLVED SAMPLE QUESTION PAPERS

    JMD PUBLICATION|Exercise EXAMPLE|260 Videos

Similar Questions

Explore conceptually related problems

Show that function f: Rrarr R given by f(x) = x^2 is neither one-one nor onto.

Show that function f: Nrarr N given by f(x) = x^2 is neither one-one nor onto.

Show that function f: Zrarr Z given by f(x) = x^2 is neither one-one nor onto.

Prove that Modulus Function f: R rarr R given by : f(x) = | x | is neither one-one nor onto, where | x | is x, if x is positive and | x | is - x, if x is negative.

Prove that greatest integer function f: RrarrR , given by f (x) = [x] , is neither one-one nor onto where [x] denotes the greatest integer less than or equal to x .

Let f : R rarrR be defined as f(x) = x^4 . Then

JMD PUBLICATION-RELATION & FUNCTIONS-EXERCISE
  1. If f(x)=abs(x) and g(x)= [x] thenf@g(-1/2) is

    Text Solution

    |

  2. If f:R–>R is defined and f(x)= (3x+4)/2 then f^(-1) is

    Text Solution

    |

  3. If f: Rrarr R given by f(x) = (x^3) + 3, then f^-1(x) equals·:

    Text Solution

    |

  4. If f(x) =(x^2), then f@ f(x) =

    Text Solution

    |

  5. If f(x) =2x-3, then f^(-1)(x) =

    Text Solution

    |

  6. The smallest equivalence relation R on set A ={1,2,8} is=

    Text Solution

    |

  7. The range of(abs(x-1))/(x-1) is 1

    Text Solution

    |

  8. If f(x)=4x-5 then f^-1 (x)=(x+5)/4

    Text Solution

    |

  9. If f(x)= [x], g (x) = abs(x), then find the value of (fog) (5/2) - (go...

    Text Solution

    |

  10. If f:N–>N is defined by{[(n+1)/2 (if n is odd) ] ,[( n/2)(if n is even...

    Text Solution

    |

  11. Prove that function f: RrarrR, f (x) = (3-2x)/7- is one-one and onto. ...

    Text Solution

    |

  12. Show that the relation R={(a,b):aleb} is not equivalence relation

    Text Solution

    |

  13. Let T be the set of all triangles in a plane with R as a relation in T...

    Text Solution

    |

  14. Let f: R–>R is defined as f(x)=x^2 is neither one one nor onto

    Text Solution

    |

  15. Let f:R-{-3/5}–>R be a function defined as f(x)= (2x)/(5x+3) find f^(-...

    Text Solution

    |

  16. If R={(x,y):x+2y=8} is a relation on N write the range of R

    Text Solution

    |

  17. If f : R rarr R be given by: f(x) = (3-x^3)^1//3, then f(f(x)) is:

    Text Solution

    |

  18. Let A=R-{3} and B=R-{1} . Consider the function f:A–>B. defined by f(x...

    Text Solution

    |

  19. Show that the relation R defined by R = {(a, b) (a - b), is divisible ...

    Text Solution

    |

  20. If f(x)=(4x+3)/(6x-4) ,x != 2/3 show that f@f(x) =x for all x != 2/3....

    Text Solution

    |