Home
Class 11
MATHS
If f(x)=(2x+1)/(3x-2) then: (f@f)(2)=...

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

A

1

B

3

C

4

D

2

Text Solution

Verified by Experts

The correct Answer is:
D
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 f(x)=(2x+3)/(x-2) , then: (f@f)(x)=

If : 3f(x)-2f((1)/(x))=x," then: "f'(2)=

Let the function f be defined by f(x)=((2x+1)/(1-3x)) then f^(-1)(x) is

If f(x)=(1+x)/(1-x) then f(x)*(f(x^(2)))/(1+(f(x))^(2))

If f(x)=(1+x)/(1-x), show that: f(2x)=(3f(x)-1)/(3-f(x)) .

If f(x)=f'(x) and f(1)=2, then f(3)=

Let f:A rarr B be an invertible function.If f(x)=2x^(3)+3x^(2)+x-1, then f^(-1)(5)=

f(x)=(2x+3)/(3x+2), then show that f(x)*f((1)/(x))=1. if f(x)=4, then show that f(x+1)-f(x)=f(x)

If f(x)=2x^(2)+3x then f'(0)+2f'(-1)=

If f(x)=log((1+x)/(1-x)), then (a) f(x_(1))f(x)=f(x_(1)+x_(2))(b)f(x+2)-2f(x+1)+f(x)=0 (c) f(x)+f(x+1)=f(x^(2)+x)(d)f(x_(1))+f(x_(2))=f((x_(1)+x_(2))/(1+x_(1)x_(2)))

MARVEL PUBLICATION-SETS, RELATIONS AND FUNCTIONS-MCQs
  1. If phi(x)=x^2+4x+5 where x in R, then the range of the function phi i...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. If f(x)=(2x+3)/(x-2), then: (f@f)(x)=

    Text Solution

    |

  14. If a function f(x)=(ax+b)/(cx+d) is such that (f@f)(x)=x, then

    Text Solution

    |

  15. If f((a x+b)/(x-a))=x, then f^(-1)(x)= (a) x (b) (bx+a)/(x-b) (c) f(...

    Text Solution

    |

  16. If f(x)=(x-3)/(x+1), then: f(x)=(x-3)/(x+1),

    Text Solution

    |

  17. If f(x)=a-(1)/(x+b), where a+b=1, then: (f@f@f)(x)=

    Text Solution

    |

  18. If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to

    Text Solution

    |

  19. If f(x)=log((1+x)/(1-x))a n dg(x)=((3x+x^3)/(1+3x^2)) , then f(g(x)) i...

    Text Solution

    |

  20. If f(x)=2x^n+a, where f(2)=26 and f(4)=138, then: f(3)=

    Text Solution

    |