Home
Class 12
MATHS
Given f(x)= sqrt(8/(1-x)+8/(1+x)) and g(...

Given `f(x)= sqrt(8/(1-x)+8/(1+x))` and `g(x) = 4/(f(sinx))+4/(f(cosx))` then `g(x)` is

A

`pi/2`

B

`pi`

C

`(3pi)/2`

D

`2pi`

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

Given f(x)=sqrt((8)/(1-x)+(8)/(1+x)) and g(x)=(4)/(f(sin x))+(4)/(f(cos x)) then g(x) is

If f(x)=|x-1| and g(x)=f(f(f(x))) then for x>2,g'(x)=

If f(x)=|x-8| and g(x)=f(f(x))AA x>16 then g'(x) equals

Given f(x) = (1)/((1-x)) , g(x) = f{f(x)} and h(x) = f{f{f(x)}}, then the value of f(x) g(x) h(x) is

Given f(x)=(1)/(1-x),g(x)=f{f(x)} and h(x)=f{f{f(x)}} then the value of f(x)g(x)h(x) is

If f(x)=(1)/((1-x)) and g(x)=f[f{f(x))} then g(x) is discontinuous at

Let f(x)=(x)/(2015) and g(x)=(f(x)^(4))/((1-f(x))^(4)+f(x)^(4)) then the sum sum_(x=0)^(2015)g(x) is equal to

ARIHANT MATHS-FUNCTIONS-Exercise (Single Option Correct Type Questions)
  1. Let f1(x)={x, x leq x leq 1 and 1 x gt1 and 0,otherwise f2(x) =f1 (...

    Text Solution

    |

  2. Which of the following functions is an odd function?

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. Let f(x)=e^{e^((|x|)sinx})a n dg(x)=e^{e^((|x|)sinx}),x in R , where ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. Which one of the following function best represent the graphs as shown...

    Text Solution

    |

  16. The solution set for [x]{x}=1, where {x} and [x] denote fractional par...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. Let f(x) be linear functions with the properties that f(1) le f(2), f(...

    Text Solution

    |