Home
Class 12
MATHS
Let f: R rarr R be a polynomial function...

Let `f: R rarr R` be a polynomial function satisfying `f(f(x) -2 y)=2 x-3 y+f(f(y)-x), forall x, y in R` then the value of`f(20)-f(14)` is equal to

Text Solution

Verified by Experts

The correct Answer is:
6
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    CENGAGE|Exercise Comprehension Type|7 Videos

  • EQUATION OF PLANE AND ITS APPLICATIONS -II

    CENGAGE|Exercise DPP 3.4|18 Videos

  • GETTING STARTED WITH GRAPHS

    CENGAGE|Exercise Exercise|18 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

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

If f is a function satisfying f (x +y) = f(x) f(y) for all x, y in N such that f(1) = 3 and sum _(x=1)^nf(x)=120 , find the value of n.

f(x+y)=f(x).f(y) for all x,yinR and f(5)=2,f'(0)=3 then f'(5) is equal to

If f:RrarrR is a function satisfying the property f(x+1)+f(x+3)=2" for all" x in R than f is

Let f:R->R be a continuous function such that |f(x)-f(y)|>=|x-y| for all x,y in R ,then f(x) will be

Let f:R to R be a function satisfying f(x+y)=f(x)=lambdaxy+3x^(2)y^(2)"for all "x,y in R If f(3)=4 and f(5)=52, then f'(x) is equal to

Let f: R rarr R be a differentiable function satisfying f(x+y)=f(x)+f(y)+x^(2)y+xy^(2) for all real numbers x and y. If lim_(xrarr0) (f(x))/(x)=1, then The value of f'(3) is

Let f: R rarr R be a differentiable function satisfying f(x+y)=f(x)+f(y)+x^(2)y+xy^(2) for all real numbers x and y. If lim_(xrarr0) (f(x))/(x)=1, then The value of f(9) is

CENGAGE-FUNCTIONS-Question Bank
  1. If there are four distinct real numbers satisfying thẻ equation |x^2-4...

    Text Solution

    |

  2. Let f: R rarr R be a polynomial function satisfying f(f(x) -2 y)=2 x-3...

    Text Solution

    |

  3. Let P(x)=x^4+a x^3+b x^2+c x+d be a polynomial such that P(1)=1, P(2)=...

    Text Solution

    |

  4. A function f(x) is such that f(x)=0 has 8 distinct real roots and f(4+...

    Text Solution

    |

  5. The number of integral values of x satisfying the equation sgn([15/(1+...

    Text Solution

    |

  6. Let f(x)=(1-c x)/(1-c^2) . If f(x) gt 0 for évery x greater than zero....

    Text Solution

    |

  7. Let g:[-2,2] rarr R, where g(x)=x^(2015)+sgn(x)+[(x^2+1)/p] be an odd ...

    Text Solution

    |

  8. If f(x)=|x+2|+|2 x-p|+|x-2| attains its minimum value in the interval ...

    Text Solution

    |

  9. Let the function f: R rarr R be defined as f(x)=min .(x+2,4-2 x, 1+4 x...

    Text Solution

    |

  10. Let f: R rarr R be defined as f(x)=2 x^3+7 x-5 and g(x)=f^-1(x). If g^...

    Text Solution

    |

  11. If f(x)= 3 sqrt((9)/(log2 (3-2x) - 1) then the value of ' a ' which sa...

    Text Solution

    |

  12. Consider the function f(x)=sqrt(2-x)+sqrt(1+x). If d denotes the numb...

    Text Solution

    |

  13. If f(x, y)=(max (x, y))^(min (x, y)) and g(x, y)=max (x, y) -min (x, y...

    Text Solution

    |

  14. The number of solution of the equation e^(2 x) + e^x+e^-(2 x)+ e^(-x...

    Text Solution

    |

  15. Suppose f(x)=a x+ba n dg(x)=b x+a ,w h e r eaa n db are positive integ...

    Text Solution

    |

  16. Let f:R->R be a continuous function such that|f(x)-f(y)|>=|x-y| for a...

    Text Solution

    |

  17. Let the equation (a-1) x^2=x(2 b+3) be satisfied by three distinct val...

    Text Solution

    |

  18. f(x) = (2x^(2) + 3)/(5), for oo lt x le 1 = 6 -5x, for 1 lt x lt 3 ...

    Text Solution

    |

  19. Let f(x)=x/(1-x) and ' a ' be a real number. If x0=a, x1=f(x0) , x2=f(...

    Text Solution

    |

  20. If the largest positive value of the function defined as f(x)=sqrt(8 x...

    Text Solution

    |