Home
Class 12
MATHS
If f(x^2-6x+6)+f(x^2-4x+4)=2x ,AA x in R...

If `f(x^2-6x+6)+f(x^2-4x+4)=2x ,AA x in R` then `f(-3) + f(9) -5f(1)= ?` (A) 7 (B) 8 (C) 9 (D) 10

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(x))^2*f((1-x)/(1+x))=64 x AA in D_f then

If f(x+1/2)+f(x-1/2)=f(x)fora l lx in R , then the period of f(x) is (a) 1 (b) 2 (c) 3 (d) 4

If f(3x+2)+f(3x+29)=0x in R , then the period of f(x) is (a) 7 (b) 8 (c) 10 (d) none of these

If 2f(x) + 3f(-x) = 15 - 4x, then prove that f(x) = 3 + 4x.

If (f(x))^(2)xxf((1-x)/(1+x))=64x AAx in D_(f), then The value of f(9//7) is

If f(x+y)=f(x)f(y)AA x,y in R, f(0) ne 0 then F(x) = {f(x)/(1+(f(x)))^2 is

If f(x), g(x) be twice differentiable functions on [0,2] satisfying f''(x) = g''(x) , f'(1) = 2g'(1) = 4 and f(2) = 3 g(2) = 9 , then f(x)-g(x) at x = 4 equals (A) 0 (B) 10 (C) 8 (D) 2

If f(x) = 6x^3 + 4x^2 + 3x +2 , find the values of f(-1), f (1/3) and f(sqrt2) .

If (x^3-6x^2+10x-2)/(x^2-5x+6)=f(x)+A/(x-2)+B/(x-3) , then f(x)=

Given f(x+2)=x^2-6x+2 , find f(0), f(2), f(-2) and f(x).

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Let f(x+1/y) +f(x-1/y) =2f(x) f(1/y) AA x, y in R , y!=0 and f(0)=0 ...

    Text Solution

    |

  2. If a function f: R ->R be such that f(x-f(y)) = f(f(y) )+xf(y)+f(x)...

    Text Solution

    |

  3. If f(x^2-6x+6)+f(x^2-4x+4)=2x ,AA x in R then f(-3) + f(9) -5f(1)= ? ...

    Text Solution

    |

  4. Let G(x)=(1/(a^x-1)+1/2)F(x), where a is a positive real number not eq...

    Text Solution

    |

  5. Let f(x)=([a]^2-5[a]+4)x^3-(6{a}^2-5{a}+1)x-(tanx)xsgnx be an even fun...

    Text Solution

    |

  6. f(x)=sin^2x+cos^4x+2 and g(x)=cos(cosx)+cos(sinx) Also let period f(x)...

    Text Solution

    |

  7. A continuous, even periodic function f with period 8 is such that f(0)...

    Text Solution

    |

  8. If a and b are natural numbers and f(x)=sin(sqrt(a^2-3))x+cos(sqrt(b^2...

    Text Solution

    |

  9. What is the fundamental period of f(x) = (sin x+ sin 3x)/(cos x+ cos ...

    Text Solution

    |

  10. Which of the following functions is/are bounded ? f(x)=(2x)/(1+x^2), [...

    Text Solution

    |

  11. The domain of the function f(x)=sqrt(10-sqrt(x^4-21 x^2)) is a. [5...

    Text Solution

    |

  12. Number of integers in domain of function f(x) =log(|x^2|)(4-|x|)+log2...

    Text Solution

    |

  13. Range of the function f(x)=sqrt(cos^(- 1)(sqrt(log4x))-pi/2)+sin^(- 1)...

    Text Solution

    |

  14. The range of the function tan^(-1)((x^2+1)/(x^2+sqrt(3))),x in R is ...

    Text Solution

    |

  15. The function f(x)=cos^(-1)((2[|sinx|+|cosx|])/(sin^2x+2sinx+11/4)) is ...

    Text Solution

    |

  16. Which of the folllowing functions are defined for all x (A) sin[x]+ ...

    Text Solution

    |

  17. The domain of the function f(x)=log(e){sgn(9-x^(2))}+sqrt([x]^(3)-4[x]...

    Text Solution

    |

  18. Number of integers in the range of f(x)=1/pi(sin^(-1)x+tan^(-1)x)+(x+1...

    Text Solution

    |

  19. If f(x) is an invertible function and g(x)=2f(x)+5, then the value of ...

    Text Solution

    |

  20. Which of the following functions is one-one ? (1)f:R->R defined as f...

    Text Solution

    |