Home
Class 11
MATHS
If g(x) = x^2+x-2and 1/2g(f(x)) = 2x^2 -...

If g(x) = `x^2+x-2`and `1/2g(f(x)) = 2x^2 -5x+2`, then f(x) is

A

`2x-3`

B

`2x+3`

C

`2x^2+3x+1`

D

`2x^2-3x-1`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    MARVEL PUBLICATION|Exercise MCQs|139 Videos
  • SEQUENCES AND SERIES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|81 Videos
  • STRAIGHT LINE

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQS|160 Videos

Similar Questions

Explore conceptually related problems

If g(x)=x^(2)+x-2 and (1)/(2)g(f(x))=2x^(2)-5x+2, then f(x) is

If g(x)=x^(2)+x-2 and (1)/(2)(gof)(x)=2x^(2)-5x+2, then f^(-1)(x) is equal

Suppose f,g, R to R . If g(x) defined by g(x) = x^(2) + x-2 and (g.f)(x) =4x^(2) - 10 x + 4 , then f(x) may be given by

If f(x) = x^(2) - 5x -36 and g(x) = x^(2) + 9x + 20, then for what values of x is 2f(x) = 3g(x) ?

If g(x) = 2x^(2) + 3x - 4 and g (f(x)) = 8x^(2) + 14 x + 1 then f (2) =

If g(x)=x^(2)+x+x-1 and g(f(x))=4x^(2)-10x+5 then find f((5)/(4))

If f (x) =(x^(2) -1) " and " g (x) =(2x +3) " then " (g o f) (x) =?

If f(x) = x^(2) and g(x) = (1)/(x^(3)) . Then the value of (f(x)+g(x))/(f(-x)-g(-x)) at x = 2 is

MARVEL PUBLICATION-SETS, RELATIONS AND FUNCTIONS-MCQs
  1. If f(x)=(1)/(x)-1 where x ne 0, then: f(x)+(1)/(f(x+1))=

    Text Solution

    |

  2. If f(x)=x^2 and g(x)=2x, then

    Text Solution

    |

  3. If g(x) = x^2+x-2and 1/2g(f(x)) = 2x^2 -5x+2, then f(x) is

    Text Solution

    |

  4. If f(x)=x^2+(1)/(x^2), g(x)=x^4+(1)/(x^4) and a+(1)/(a)=3, then the re...

    Text Solution

    |

  5. If f(x)=4x-3, where -3 le x le 1 then the range of the function f is g...

    Text Solution

    |

  6. If f(x)=2x+3, where 1 le x le 2, then the range of the function f is g...

    Text Solution

    |

  7. If g(x)=3-4x where -2 le x le 3, then the range of function g is given...

    Text Solution

    |

  8. If h(x)=5x^2+6 where -3 le x le 4, then the range of function h is giv...

    Text Solution

    |

  9. If f(x)=6-5x^2, where -4 le x le 5, then the range of the functionf is...

    Text Solution

    |

  10. If phi(x)=x^2+4x+5 where x in R, then the range of the function phi i...

    Text Solution

    |

  11. If phi(x)=x^2-6x+8 where x in R then the range of the function phi is ...

    Text Solution

    |

  12. If f(x)=(2x+1)/(3x-2) then: (f@f)(2)=

    Text Solution

    |

  13. If f(x)=(x-2)^2 and g(x) =3x-3 then: (f@g)(2)=

    Text Solution

    |

  14. If the function f(x)=3x+a and g(x) =4x+9 are such that (g@g)(x)=(g@f)(...

    Text Solution

    |

  15. If f@g=g@f, where f(x)=2x+5 and g(x)=3x+h, then: h=

    Text Solution

    |

  16. If f={(1,2),(2,3),(3,5),(5,8)} and g={(2,1),(3,2),(5,3),(8,5)} then f@...

    Text Solution

    |

  17. If f:R->R and g:R->R defined by f(x)=2x+3 and g(x)=x^2+7 then the valu...

    Text Solution

    |

  18. If f(x)=1+2x and g(x) = x/2 , then: (f@g)(x)-(g@f)(x)=

    Text Solution

    |

  19. If f(x)=x^2 and g(x)=x^2+1 then: (f@g)(x)=(g@f)(x)=

    Text Solution

    |

  20. If y=f(x) is one-one onto function, then: (f^-1@f)(x)=

    Text Solution

    |