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

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

A

one-one and onto

B

one-one and into

C

many one and onto

D

many one and into

Text Solution

Verified by Experts

The correct Answer is:
A

NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

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

    RESONANCE|Exercise MCQ_TYPE|31 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise MATCH THE COLUMN|5 Videos
  • NUMBER THEORY

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

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

Similar Questions

Explore conceptually related problems

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

Let f: RtoR be function defined by f(x)=sin (2x-3) , then f is

Let f:R rarr R be a function defined by f(x)=(x^(2)-3x+4)/(x^(2)+3x+4) then fis-

Let f : R → R be a function defined by f ( x ) = 4 x − 3 ∀ x ∈ R . Then Write f^(−1) .

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

If f:R to R be the function defined by f(x) = sin(3x+2) AA x in R. Then, f is invertible.

Let f : R to R be defined by f(x) = x^(3) + x^(2) + 5x + 2 sin x , Then

Let f be a real-valued function defined by f(x) = 3x^(2) + 2x + 5 Find f(1).

RESONANCE-RELATION, FUNCTION & ITF-SCQ_TYPE
  1. The range of f(x)=logsqrt5 (sqrt2(sinx-cosx)+3) is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. Domain of definition of the functioni f(x)=3/(4-x^(2))+log(10)(x^(3)-x...

    Text Solution

    |

  5. if f:[0.oo)->(0,oo), f(x) = x/(1-x) is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. Let f (x) =[0, if x is rational and x if x is irrational and g (x)=[...

    Text Solution

    |

  11. Which of the following pair of functions are identical

    Text Solution

    |

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

    Text Solution

    |

  13. Let g(x)=1+x-[x]a n df(x)={-1, x<0 0, x=0f, x >0 . Then for all x ,f(g...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. The inverse of the function f(x)=(e^(x)-e^(-x))/(e^(x)+e^(-x))

    Text Solution

    |