Home
Class 12
MATHS
Let f: RrarrR be a function defined by f...

Let f: `RrarrR `be a function defined by `f(x)=(2x^2-x+5)/(7x^2+2x+10)` then f is

A

one -one but not onto

B

onto but not one-one

C

onto as well as one-one

D

neither onto nor one-one

Text Solution

Verified by Experts

The correct Answer is:
D

NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE ENGLISH|Exercise MATCH THE COLUMN|2 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE ENGLISH|Exercise INTEGER_TYPE|21 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE ENGLISH|Exercise SUBJECTIVE_TYPE|179 Videos
  • NUMBER THEORY

    RESONANCE ENGLISH|Exercise Exercise -2 (PART - II)|4 Videos
  • SEQUENCE & SERIES

    RESONANCE ENGLISH|Exercise EXERCISE -2 (PART-II : PREVIOUSLY ASKED QUESTION OF RMO)|3 Videos

Similar Questions

Explore conceptually related problems

If f:R rarr R be a function defined as f(x)=(x^(2)-8)/(x^(2)+2) , then f is

Let f:R rarr R be a function defined as f(x)=(x^(2)-6)/(x^(2)+2) , then f is

Let f:R->R be a function defined by f(x)=x^2-(x^2)/(1+x^2) . Then:

Let f :RrarrR be a function defined by f(x) = x^3 + x^2 + 3x + sin x . Then f is

Let f :RrarrR be a function defined by f(x) = x^3 + x^2 + 3x + sin x . Then f is

Let f:R to R be a function defined by f(x)=(x^(2)-8)/(x^(2)+2) . Then f is

If a function f:RtoR is defined by f(x)=(x^(2)-5)/(x^(2)+4) , then f is

Let f:ArarrB is a function defined by f(x)=(2x)/(1+x^(2)) . If the function f(x) is a bijective function, than the correct statement can be

Let f:R to R be a function defined by f(x)=(|x|^(3)+|x|)/(1+x^(2)) , then the graph of f(x) lies in the

Let f:[-1,1] to R_(f) be a function defined by f(x)=(x)/(x+2) . Show that f is invertible.

RESONANCE ENGLISH-RELATION, FUNCTION & ITF-SCQ_TYPE
  1. Range of f(x) = 4^x + 2^x + 1 is

    Text Solution

    |

  2. The range of f(x)=logsqrt5 (sqrt2(sinx-cosx)+3) is

    Text Solution

    |

  3. Let f: RrarrR be a function defined by f(x)=(2x^2-x+5)/(7x^2+2x+10) th...

    Text Solution

    |

  4. Let f : R to F, f (x) =x^(3)+ x ^(2) +3x+ sin x, then f is :

    Text Solution

    |

  5. Find the domain of the function : f(x)=3/(4-x^2)+(log)(10)(x^3-x)

    Text Solution

    |

  6. If f:[0,oo)vec[0,oo)a n df(x)=x/(1+x),t h e nf is one-one and onto one...

    Text Solution

    |

  7. Range of the function f(x)=((x-2)^2)/((x-1)(x-3)) is

    Text Solution

    |

  8. Range of the function f(x)=(x-2)/(x^2-4x+3) is

    Text Solution

    |

  9. Statement -1 If f(x) and g(x) both are one one and f(g(x)) exists, the...

    Text Solution

    |

  10. Statement-1 If y=f(x) is increasing in [alpha,beta], then its range is...

    Text Solution

    |

  11. If the function f(x) and g(x) are defined on R to R such that f(x)=...

    Text Solution

    |

  12. Which of the following pair of functions are identical

    Text Solution

    |

  13. Let f(x) be a function whose domain is [-5,6]. Let g(x)=|2x+5|,then do...

    Text Solution

    |

  14. Let g(x)=1+x-[x]a n df(x)={-1, x<0;0, if x=0;1, ifx >0 . Then for all ...

    Text Solution

    |

  15. The function f(x)=log((1+sinx)/(1-sinx)) is

    Text Solution

    |

  16. The function f(x)=[x]+1/2,x!inI is a/an (wher [.] denotes greatest int...

    Text Solution

    |

  17. If the graph of the function y = f(x) is symmetrical about the line x ...

    Text Solution

    |

  18. Fundamental period of f(x)=sec(sin x) is

    Text Solution

    |

  19. If f(x)=sin(sqrt([a])x) (where [.] denotes the greatest integer functi...

    Text Solution

    |

  20. Find the area below the curve y=[sqrt(2+2cos2x)] but above the x-axis ...

    Text Solution

    |