Home
Class 12
MATHS
Let a function f(x) satisfies f(x)+f(2x)...

Let a function `f(x)` satisfies `f(x)+f(2x)+f(2-x)+f(1+x)=x ,AAx in Rdot` Then find the value of `f(0)dot`

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 f is polynomial function satisfying 2+f(x)f(y)=f(x)+f(y)+f(x y)AAx , y in R and if f(2)=5, then find the value of f(f(2))dot

A continuous real function f satisfies f(2x)=3f(x)AAx in RdotIfint_0^1f(x)dx=1, then find the value of int_1^2f(x)dx

If f: R->R is a function satisfying the property f(2x+3)+f(2x+7)=2AAx in R , then find the fundamental period of f(x) .

Let f(x) be a differentiable function satisfying f(x)=int_(0)^(x)e^((2tx-t^(2)))cos(x-t)dt , then find the value of f''(0) .

Determine the function satisfying f^2(x+y)=f^2(x)+f^2(y)AAx ,y in Rdot

Let f: R^+ ->R be a function which satisfies f(x)dotf(y)=f(x y)+2(1/x+1/y+1) for x , y > 0. Then find f(x)dot

If a continuous function f on [0, a] satisfies f(x)f(a-x)=1, a >0, then find the value of int_0^a(dx)/(1+f(x))

A continuous function f(x)onR->R satisfies the relation f(x)+f(2x+y)+5x y=f(3x-y)+2x^2+1forAAx ,y in R Then find f(x)dot

Let f (x+(1)/(x))= x^(2) +(1)/(x^(2)) , x ne 0, then the value of f (x) is-

If f'(x)=f(x)+ int_(0)^(1)f(x)dx , given f(0)=1 , then find the value of f(log_(e)2) is

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Find the domain of the function : f(x)=3/(4-x^2)+(log)(10)(x^3-x)

    Text Solution

    |

  2. If f(x) = x^2, then /\^2 f(x) is

    Text Solution

    |

  3. Let a function f(x) satisfies f(x)+f(2x)+f(2-x)+f(1+x)=x ,AAx in Rdot...

    Text Solution

    |

  4. Find the domain of the function : f(x)=sqrt(((log)(0. 3)|x-2|)/(|x|))

    Text Solution

    |

  5. f(x)=sin^(-1)(2xsqrt(1-x^2)) then f'(x)=

    Text Solution

    |

  6. Find the domain of the function : f(x)=sqrt((log)(10){((log)(10)x)/(2...

    Text Solution

    |

  7. Let f be a function satisfying of xdot Then f(x y)=(f(x))/y for all po...

    Text Solution

    |

  8. Find the domain of the function : f(x)=1/(sqrt((log)(1/2)(x^2-7x+13)))

    Text Solution

    |

  9. If f(x) is a polynomial function satisfying f(x)dotf(1/x)=f(x)+f(1/x) ...

    Text Solution

    |

  10. Let f: R->R be a continuous onto function satisfying f(x)+f(-x)=0AAx i...

    Text Solution

    |

  11. Find the range of f(x)=(log)e x-((log)e x)^2/(|(log)e x|)

    Text Solution

    |

  12. Let f be a real-valued function such that f(x)+2f((2002)/x)=3xdot Then...

    Text Solution

    |

  13. If f(x) is an odd function, f(1)=3,f(x+2)=f(x)+f(2), then the value of...

    Text Solution

    |

  14. Find the domain of the function : f(x)=sqrt(4^x+8^((2/3)(x-2))-13-2^(...

    Text Solution

    |

  15. The graph of (y-x) against(y+x) is shown. fig which one of the ...

    Text Solution

    |

  16. If f: R->R is an odd function such that f(1+x)=1+f(x)and x^2f(1/x)...

    Text Solution

    |

  17. Find the domain of the function : f(x)=sin^(-1)((log)2x)

    Text Solution

    |

  18. Each question has four choices, a,b,c and d,out of which only one is ...

    Text Solution

    |

  19. Let f: R^+ ->R be a function which satisfies f(x)dotf(y)=f(x y)+2(1/x...

    Text Solution

    |

  20. Find Domain of the following function : f(x)=log(x-4)(x^2-11x+24)

    Text Solution

    |