Home
Class 12
MATHS
Find all functions f satisfying the iden...

Find all functions `f` satisfying the identity, `f(x)+f((x-1)/x)=1+x,AA x inR-{0,1}`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • FUNCTION

    FIITJEE|Exercise SOLVED PROBLEMS (OBJECTIVE)|20 Videos
  • FUNCTION

    FIITJEE|Exercise EXERCISES|43 Videos
  • FUNCTION

    FIITJEE|Exercise NUMERICAL BASED|3 Videos
  • ELLIPSE

    FIITJEE|Exercise NUMERICAL BASED|4 Videos
  • HEIGHTS & DISTANCE

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-II|20 Videos

Similar Questions

Explore conceptually related problems

Consider the function f(x) satisfyig the identity f(x)+f((x-1)/(x))=1+x,AA x in R-{0,1} and g(x)=2f(x)-x+1

Find function f(x) satisfying f(x)+f((1)/(1-x))=(2(1-2x))/(x(1-x))AA x in R-{0,1}

If a function f(x) satisfies the relation 3f(x)-5f((2)/(x))=3-x+x^(2)AA x in R-{0} ,then the value of f(1) is equal to

Function f satisfies the relation f(x)+2f((1)/(1-x))=x AA x in R-{1,0} then f(2) is equal to

If f(x) is a polynomial function satisfying the condition f(x) .f((1)/(x)) = f(x) + f((1)/(x)) and f(2) = 9 then

The function f (x) satisfy the equation f (1-x)+ 2f (x) =3x AA x in R, then f (0)=

Let f(x) be a function which satisfies the relation f(x+1)+f(2x+2)+f(1-x)+f(2+x)=x+1 AA x in R then value of [f(0)] is

If a function satisfies the relation f(x) f''(x)-f(x)f'(x)=(f'(x))^(2) AA x in R and f(0)=f'(0)=1, then The value of lim_(x to -oo) f(x) is

Consider the function x) which satisfying the functional equation 2f(x)+f(1-x)=x^2 +1AA x inR and g(x) = 3f(x) + 1 · The domain of h(x)=sqrt(g(x))

FIITJEE-FUNCTION-SOLVED PROBLEMS (SUBJECTIVE)
  1. Find the domain of function f(x)=(1)/([abs(x-1)]+[abs(7-x)]-6) where [...

    Text Solution

    |

  2. Find the domain of the function, f(x)=log{log(abs(sinx)){x^(2)-8x+23...

    Text Solution

    |

  3. Find the range of the function f(x)=(sin^2x+sinx-1)/(sin^2x-sin x+2)

    Text Solution

    |

  4. Find the range of following functions f(x)=log(2)((sinx-cosx+3sqrt2)...

    Text Solution

    |

  5. Find the range of following functions f(x)=(tan^(-1)x)^(2)+2/(sqrt(1...

    Text Solution

    |

  6. Find the period of the following functions: f(x)=cos(sinx)+cos(cosx)

    Text Solution

    |

  7. Find the period of the following functions: f(x)=((1+sinx)(1+secx))/...

    Text Solution

    |

  8. Find the period of the following functions: f(x)=sum(r=1)^(n)(sin(x/...

    Text Solution

    |

  9. ABCD is a square of side a. A line parallel to the diagonal BD at a di...

    Text Solution

    |

  10. Let f(x)=(x^2+3x+a)/(x^2+x+1) where f:R->R. Find the value of paramete...

    Text Solution

    |

  11. Identify the given functions as odd, even or neither: f(x)=x/(e^(x)...

    Text Solution

    |

  12. Identify the given functions as odd, even or neither: f(x+y)=f(x)+f...

    Text Solution

    |

  13. A function f: IR ->IR, where IR, is the set of real numbers, is def...

    Text Solution

    |

  14. Check whether the function defined by f(x+lambda)=1+sqrt(2f(x)-f^2(x))...

    Text Solution

    |

  15. Find all functions f satisfying the identity, f(x)+f((x-1)/x)=1+x,AA x...

    Text Solution

    |

  16. If f(x) is of period of 7 and g(x) is of period of 11. Then find the p...

    Text Solution

    |

  17. Let y=sqrt(2/(x^(2)-x+1)-1/(x+1)-(2x+1)/(x^(3)+1)), find all the real ...

    Text Solution

    |