Home
Class 12
MATHS
If f(0)=0, f(1)=1, f(2)=2 and f(x)=f(x-2...

If `f(0)=0, f(1)=1, f(2)=2 and f(x)=f(x-2)+f(x-3) " for " x=3, 4, 5, …………..,` then `f(9)=`

A

12

B

13

C

14

D

10

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

If f is function such that f(0)=2, f(1)=3 and f(x+2)=2f(x)-f(x+1) for every real x, then f(5) is

If f(x + y) = f(x) f(y) AA x, y and f(5) = 2, f'(0) = 3 then f'(5) =

If f(x + 1/2) + f(x - 1/2) = f(x) for all x in R , then the period of f(x) is

For x in R, x != 0, x != 1 , let f_(0)(x)= (1)/(1-x) and f_(n+1)(x)=f_(0)(f_(n)(x)), n = 0, 1, 2,.... Then the value of f_(100)(3)+f_(1)(2/3)+f_(2)(3/2) is equal to

If 2f(x) -3f(1/x)=x^(2), x ne 0 , then f(2)=

If f(x) +2f(1/x) =3x, x ne 0 and S={x in R//f (x) =f(-x)} , then S is:

f(x) = (|x|)/(x) , x ne 0 , f(0) = 1 then f(x at x = 0 9s

If f(x)=(25-x^(4))^(1//4) for 0 lt x lt sqrt5 then f(f((1)/(2)))=

DIPTI PUBLICATION ( AP EAMET)-FUNCTIONS-EXERCISE 1A(FUNCTIONS)
  1. If f(x)=4x-1," if " x gt4, =x^(2)-2," if " -2 le x le 3, =3x+4," i...

    Text Solution

    |

  2. If f(x)=(cos^(2)x+sin^(4)x)/(sin^(2)x+cos^(4)x) for x in R then f(2002...

    Text Solution

    |

  3. If f(0)=0, f(1)=1, f(2)=2 and f(x)=f(x-2)+f(x-3) " for " x=3, 4, 5, ……...

    Text Solution

    |

  4. If f(x)=alphax+beta and f={(1, 1), (2, 3), (3, 5), (4, 7)} then the va...

    Text Solution

    |

  5. If f: R rarrR defined by f(x)=2x+|x| then f(3x)-f(-x)-4x=

    Text Solution

    |

  6. If f:R rarrR is defined by f(x)=2x+|x| then f(2x)+f(-x)-f(x)=

    Text Solution

    |

  7. If f(1)=1, f(n+1)=2f(n)+1, n ge1, then f(n) is

    Text Solution

    |

  8. If f(x)=log.(1+x)/(1-x) then f((x(1)+x(2))/(1+x(1)x(2)))=

    Text Solution

    |

  9. If f(x)=log.(1-a)/(1+a)" for " 0ltalt1 then f((2a)/(1+a^(2)))=

    Text Solution

    |

  10. If f(a)=log.(2+a)/(2-a)" for " 0lt a lt2 then (1)/(2)f((8a)/(4+a^(2)))...

    Text Solution

    |

  11. If e^(f(x))=(10+x)/(10-x), x in (-10, 10) and f(x)=kf ((200x)/(100+x^(...

    Text Solution

    |

  12. For any integer n ge1, the number of positive divisors of n is denoted...

    Text Solution

    |

  13. If NN denotes the set of all positive integers and if f:NN rarrN is d...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |