Home
Class 12
MATHS
If f(x) is a polynomial fin x( gt0) sati...

If `f(x)` is a polynomial fin `x( gt0`) satisfying the equation `f(x)+f(1//x)=f(x).f(1//x) and f(2)=9`, then `f(3)=`

A

26

B

27

C

28

D

29

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B(DOMAINS, RANGES OF REAL FUNCTIONS)|138 Videos

  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS)|7 Videos

  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS)|7 Videos

  • EXPONENTIAL SERIES & LOGARITHMIC SERIES (APPENDIX-1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|5 Videos

  • Hyperbola

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET 4|4 Videos

Similar Questions

Explore conceptually related problems

If f (x) is a polynomial function satisfying f(x).f((1)/(x))=f(x)+f((1)/(x)) and f(4) =257 then f(3) =

If f(x) is a polynomial function x>0 such that f(x)f(1//x)=f(x)+f(1//x) and f(2)=33 then f(x)=

If f(x) is a polynomial satisfying f(x)f(1//x)=f(x)+f(1//x) and f(3)=28 , then f(4) is equal to

If 2f(x) = f'(x) and f(0) = 3 then f(2) =

If f(x) is a polynomial function such that f(x)f((1)/(x))=f(x)+f((1)/(x))and f(3) =-80 then f(x)=

DIPTI PUBLICATION ( AP EAMET)-FUNCTIONS-EXERCISE 1A(FUNCTIONS)
  1. If NN denotes the set of all positive integers and if f:NN rarrN is d...

    Text Solution

    |

  2. If f(x)=sin[pi^(2)]x+sin[-pi^(2)]x when [x] is the step function, then...

    Text Solution

    |

  3. If f(x) is a polynomial fin x( gt0) satisfying the equation f(x)+f(1//...

    Text Solution

    |

  4. If f(x) is a polynomial function x>0 such that f(x)f(1//x)=f(x)+f(1//x...

    Text Solution

    |

  5. If f(x) is a polynomial function such that f(x)f((1)/(x))=f(x)+f((1)/(...

    Text Solution

    |

  6. If f(x) is a function such that f(x+y)=f(x)f(y) and f(5) =125 " then "...

    Text Solution

    |

  7. If f(x) is a function such that f(xy)=f(x)+f(y) and f(2)=1 then f(x)=

    Text Solution

    |

  8. If f(x)=cos(logx), then show that f((1)/(x)).f((1)/(y))-(1)/(2)[f((x)/...

    Text Solution

    |

  9. If f(x)=sin(logx), then f(xy)+f(x//y)-2f(x)cos (logy)=

    Text Solution

    |

  10. If f(n)(x)-(tan.(x)/(2))(1+secx)(1+sec 2x)……(1+sec2^(n)x) then which o...

    Text Solution

    |

  11. If f:A rarrR is defined as f(x)=x^(3)+1 and A={1, 2, -1, -2, 0} then t...

    Text Solution

    |

  12. If f:ArarrR is defined as f(x)=cosx and A={0, pi//6, pi//4, pi//3} the...

    Text Solution

    |

  13. If f:ArarrR is defined as f(x)=tan(x//2) and A{pi//2, pi//3, 2pi//3} t...

    Text Solution

    |

  14. If A={3, 0, 1, 2} and f:A rarr B is an onto function defined by f(x)=3...

    Text Solution

    |

  15. If f:[2, oo)rarrB defined by f(x)=x^(2)-4x+5 is a bijection, then B=

    Text Solution

    |

  16. If f:RR rarr RR is defined by f(x)=x-[x] -(1)/(2)" for "x in RR, where...

    Text Solution

    |

  17. If f:RR rarr RR is defined by f(x)=[(x)/(2)] for x in RR, where [y] de...

    Text Solution

    |

  18. A={1,2,3,4,5}, B={1, 4, 7, 10, 13}. If f from A into B defined by f(x)...

    Text Solution

    |

  19. A={-1, 0, 2, 5, 6, 11}, B={2, -1, 1, 0, 11, 108} and f(x)=x^(2)-x-2, t...

    Text Solution

    |

  20. A={-1,0, 1, 2}, B={2, 3, 6}. If f from A into B defined by f(x)=x^(2)+...

    Text Solution

    |