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

If `f(x+1)+f(x-1)=2f(x)` and `f(0)=0,` then find `f(n),n in N ,` is

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|3 Videos
  • SCALER TRIPLE PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

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

If f' (x) =xe^(x) and f(0)=1, find f(x)

If f(x)=(x-1)^2-x+1 , then find f(0) .

If f(x)=x^2-3x+1 , then find f(0) .

If f(x)=x^3-4x+1 , then find f(0) .

If f(x) = 1/(1+x) , then find f[f{f(x)}] .

If f(x+f(y))=f(x)+yAAx ,y in R a n df(0)=1, then find the value of f(7)dot

If f: R->R is an odd function such that f(1+x)=1+f(x) and x^2f(1/x)=f(x),x!=0 then find f(x)dot

If f(x)f(y) + 2 = f(x) + f(y) + f(xy) and f(1) = 2, f'(1) = 2, then find f(x).

If f: R^+ to R , f(x) + 3x f(1/x)= 2(x+1),t h e n find f(x)

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Let g(x)=f(x)-1. If f(x)+f(1-x)=2AAx in R , then g(x) is symmetrical ...

    Text Solution

    |

  2. Domain (D) and range (R) of f(x)=sin^(-1)(cos^(-1)[x]), where [.] den...

    Text Solution

    |

  3. If f(x+1)+f(x-1)=2f(x) and f(0)=0, then find f(n),n in N , is

    Text Solution

    |

  4. The range of the function f defined by f(x)=[1/(sin{x})] (where [.] ...

    Text Solution

    |

  5. If a, b be two fixed positive integers such that f(a+x)=b+[b^3+1-3b^2 ...

    Text Solution

    |

  6. If f(x) = cos(loge x), then find the value of f(x)cdot f(y) - 1/2[f(x/...

    Text Solution

    |

  7. If x satisfies |x-1|+x-2|+|x-3| >= 6, then (a) 0 le x le 4 (b) x le ...

    Text Solution

    |

  8. Which of the following functions is periodic?

    Text Solution

    |

  9. The domain of definition of the function y=1/((log)(10)(1-x))+sqrt(x+...

    Text Solution

    |

  10. Let f(x)=sinx and g(x)=(log)e|x| If the ranges of the composition func...

    Text Solution

    |

  11. If a, b be two fixed positive integers such that f(a+x)=b+[b^3+1-3b^2 ...

    Text Solution

    |

  12. Which of the following pairs of functions is/are identical? (a) f(x)=...

    Text Solution

    |

  13. Let f(x)=sec^(-1)[1+cos^(2)x], where [.] denotes the greatest integer ...

    Text Solution

    |

  14. Which of the following is/are not functions ([.]) and {.} denote the ...

    Text Solution

    |

  15. Find the value of the x/9+y/4, when x=2, y=-3

    Text Solution

    |

  16. Which of the following function is/are periodic? A. f(x)={(1, "x is...

    Text Solution

    |

  17. f(x)=x^2-2a x+a(a+1),f:[a ,oo)vec[a ,oo)dot If one of the solution of ...

    Text Solution

    |

  18. Let f: R->R be a function defined by f(x+1)=(f(x)-5)/(f(x)-3)AAx in R...

    Text Solution

    |

  19. If f: R^+rarrR^+ is a polynomial function satisfying the functional e...

    Text Solution

    |

  20. Suppose that f(x) is a function of the form f(x) =(a x^8+b x^6+c x^4+...

    Text Solution

    |