Home
Class 12
MATHS
If f(x) = (4a-7)/3 x^3+(a-3)x^2 +x+5 is ...

If `f(x) = (4a-7)/3 x^3+(a-3)x^2 +x+5` is one-one function

A

`2 le a le 8`

B

`1 le a le 2`

C

`0 le a le 1`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • FUNCTION

    MOTION|Exercise Exercise - 2 (Level-I)|33 Videos

  • FUNCTION

    MOTION|Exercise Exercise - 2 (Level-II)|6 Videos

  • FUNCTION

    MOTION|Exercise Exercise - 4 | Level-II|7 Videos

  • ELLIPSE

    MOTION|Exercise Exercise - 4 | Level-I Previous Year | JEE Main|20 Videos

  • HYPERBOLA

    MOTION|Exercise EXERCISE-4 (Level-II)|17 Videos

Similar Questions

Explore conceptually related problems

A function f:R rarr R defined as f(x)=x^(3)-ax^(2)+3ax+7 is one-one function,then exhaustive range of a is

A function f:rR rarr R defined as f(x)=x^(3)+ax^(2)+bx+3sin x+4cos x, is one-one onto,then

consider the function f(X) = 3x^(4)+4x^(3)-12x^(2) The range of the function y=f(x) is

The function f(x)=x^3-3x^2-24x+5 is an increasing function in the interval

Let f : R->R be a function defined by f() =(x^2-3x+4)/(x^2+3x+4)then f is (1) one-one but not onto (2) onto but not one -one (3) onto as well as one- one (4) neither onto nor one- one

A function f:RrarrR is defined by f(x)=4x^(3)+5,x inR . Examine if f is one-one and onto.

Let f:(-(pi)/(2),(pi)/(2))rarr R be given by f(x)=(log(sec x+tan x))^(3) then f(x) is an odd function f(x) is a one-one function f(x) is an onto function f(x) is an even function

Is the function: f(x) = (x^(2) - 8x + 18)/(x^(2) + 4x + 30) one-one?

MOTION-FUNCTION-Exercise - 1 ( JEE Main)
  1. Let f: RrarrR be a function defined by f(x)=(2x^2-x+5)/(7x^2+2x+10) th...

    Text Solution

    |

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

    Text Solution

    |

  3. If f(x) = (4a-7)/3 x^3+(a-3)x^2 +x+5 is one-one function

    Text Solution

    |

  4. The function f : (-oo, 3] to (o,e ^(7)] defined by f (x)=e ^(x^(3)-3x^...

    Text Solution

    |

  5. f : R -> R, where f(x)=(x^2+ax+1)/(x^2+x+1) Complete set of values of ...

    Text Solution

    |

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

    Text Solution

    |

  7. It is given that f(x) is an even function and satisfy the relation f(x...

    Text Solution

    |

  8. If the function / satisfies the relation f(x+y)+f(x-y)=2f(x),f(y)AAx ,...

    Text Solution

    |

  9. Let f(x)=abs(x-1)+abs(x-2)+abs(x-3)+abs(x-4), then

    Text Solution

    |

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

    Text Solution

    |

  11. The period of sin(pi/4)x+cos(pi/2)x+cos(pi/3)x is

    Text Solution

    |

  12. Let f(x)=x(2-x), 0<=x<=2. If the definition of f is extended over the ...

    Text Solution

    |

  13. The peroid of the function f(x) =(|sinx|-|cosx|)/(|sin x + cosx|) i...

    Text Solution

    |

  14. Which of the following is implicit functions -

    Text Solution

    |

  15. I fy=f(x) satisfies the condition f(x+1/x)=x^2+1/(x^2)(x!=0) then f(x...

    Text Solution

    |

  16. If f(x) = a(x^n +3), f(1) = 12, f(3) = 36, then f(2) is equal to

    Text Solution

    |

  17. Let f:(2,4)->(1,3) be a function defined by f(x)=x-[x/2], thenf^(-1)(x...

    Text Solution

    |

  18. Let f(x) = (x+1)^(2) - 1, (x ge - 1). Then, the set S = {x : f(x) = f^...

    Text Solution

    |

  19. A function f : R->R satisfies the condition x^2f(x)+f(1-x)=2x-x^4. The...

    Text Solution

    |

  20. Let f(x) = abs(x – 1). Then :

    Text Solution

    |