Home
Class 12
MATHS
Let f be a function satisfying of xdot T...

Let `f` be a function satisfying of `xdot` Then `f(x y)=(f(x))/y` for all positive real numbers `x and ydot` If `f(30)=20 ,` then find the value of `f(40)dot`

A

15

B

20

C

40

D

60

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|25 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 12|4 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

If 2f(x)=f(x y)+f(x/y) for all positive values of x and y,f(1)=0 and f'(1)=1, then f(e) is.

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)^n f(x)=120 , find the value of n.

Let f be a function satisfying f(x+y)=f(x) + f(y) for all x,y in R . If f (1)= k then f(n), n in N is equal to

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

Let f: RvecR be a function satisfying condition f(x+y^3)=f(x)+[f(y)]^3fora l lx ,y in Rdot If f^(prime)(0)geq0, find f(10)dot

If f is a real valued differentiable function satisfying | f (x) - f (y) | le (x - y) ^(2) for all real x and y and f (0) =0 then f (1) equals :

Let f be a differentiable function satisfying the relation f(xy)=xf(y)+yf(x)−2xy .(where x, y >0) and f ′ (1)=3, then find f(x)

The number or linear functions f satisfying f(x+f(x))=x+f(x) AA x in RR is

Let f be differentiable function satisfying f((x)/(y))=f(x) - f(y)"for all" x, y gt 0 . If f'(1) = 1, then f(x) is

ARIHANT MATHS-FUNCTIONS-Exercise (Single Option Correct Type Questions)
  1. Which of the following functions is an odd function?

    Text Solution

    |

  2. Given f(x)= sqrt(8/(1-x)+8/(1+x)) and g(x) = 4/(f(sinx))+4/(f(cosx)) t...

    Text Solution

    |

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

    Text Solution

    |

  4. Let f(x)=e^({e^(|x|sgnx)})a n dg(x)=e^([e^(|x|sgnx)]),x in R , where ...

    Text Solution

    |

  5. Which of the following function is surjective but not injective. (a) ...

    Text Solution

    |

  6. If f(x) = 2 x^3 + 7x - 5 then f^(-1) (4) is :

    Text Solution

    |

  7. The range of the function f(x)=(e^(x)*logx*5^(x^(2)+2)*(x^(2)-7x+10)...

    Text Solution

    |

  8. If x=cos^(-1)(cos 4) " and " y=sin^(-1)(sin3), then which of the follo...

    Text Solution

    |

  9. Let f(x)=((2sinx+sin2x)/(2cosx+sin2x)*(1-cosx)/(1-sinx)): x in R. Co...

    Text Solution

    |

  10. If f(x)=e^(sin(x-[x])cospix), where [x] denotes the greatest integer f...

    Text Solution

    |

  11. Find the range of the function f(x)=cot^(-1)(log)(0. 5)(x^4-2x^2+3)

    Text Solution

    |

  12. Range of f(x)=[1/(log(x^(2)+e))]+1/sqrt(1+x^(2)), where [*] denotes gr...

    Text Solution

    |

  13. The period of the function f(x)=Sin(x +3-[x+3]) where [] denotes the g...

    Text Solution

    |

  14. Which one of the following function best represents the graphs as show...

    Text Solution

    |

  15. The solution set for [x]{x}=1 (where {x} and [x] are respectively, fra...

    Text Solution

    |

  16. The domain of definition of function f(x)=log(sqrt(x^(2)-5x-24)-x-2)...

    Text Solution

    |

  17. If f(x) is a function f:R-> R, we say f(x) has property I. If f(f(x)) ...

    Text Solution

    |

  18. Let f(x)=x/(1+x) and let g(x)=(rx)/(1-x) , Let S be the set off all re...

    Text Solution

    |

  19. Let f be a linear function with properties f(1)lef(2),f(3)gef(4)and ...

    Text Solution

    |

  20. Suppose R is relation whose graph is symmetric to both X-axis and Y-ax...

    Text Solution

    |