Home
Class 12
MATHS
(f(x y))^2=x(f(y))^2:f(2)=6 A function f...

`(f(x y))^2=x(f(y))^2:f(2)=6` A function f: R+ ? R+ defined as Then `f(100) =?`

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

Let the function f : R to R be defined by f(x)= 2x + cos x , then f(x)-

The function f:R->[-1/2,1/2] defined as f(x)=x/(1+x^2) is

Let f be a function defined from R^(+)rarrR^(+). If (f(xy))^(2)=x(f(y))^(2) for all positive numbers x and y, If f(2)=6, find f(50) =?

Fill in the blanks : If a function f : R to R is defined by f(x) = 2x+3 then f^(-1) (19)="____" (R is the set real numbers ).

If the function f: R to R is defined by f(x)=x^(2)-6x-14 , then f^(-1)(2) is equal to -

Let R be the set of real numbers . If the function f : R to R and g : R to R be defined by f(x) = 4x+1 and g(x)=x^(2)+3, then find (go f ) and (fo g) .

If a function f: R ->R be such that f(x-f(y)) = f(f(y) )+xf(y)+f(x) -1 AA x , y in R then f(2)=

Let the function f:R to R be defined by f(x)=x+sinx for all x in R. Then f is -

A function f : R to R is defined by f(x) =x^(2) .Then show that f is neither nor surfection .

Consider a differentiable f:R to R for which f(1)=2 and f(x+y)=2^(x)f(y)+4^(y)f(x) AA x , y in R. The number of solutions of f(x)=2 is

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Period of f(x) = sgn([x] +[-x])is equal to (where [.] denotes greatest...

    Text Solution

    |

  2. A function f: R -> R satisfies the equation f(x)f(y)-f(x y)=x+yAAx ,y ...

    Text Solution

    |

  3. (f(x y))^2=x(f(y))^2:f(2)=6 A function f: R+ ? R+ defined as Then f(10...

    Text Solution

    |

  4. 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

    |

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

    Text Solution

    |

  6. 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

    |

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

    Text Solution

    |

  8. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |