Home
Class 12
MATHS
If f(x)=sin^(-1)x and g(x)=[sin(cosx)]+[...

If f(x)=`sin^(-1)x` and g(x)=[sin(cosx)]+[cos(sinx)], then range of f(g(x)) is (where `[*]` denotes greatest integer function)

A

`{(-pi)/2,pi/2}`

B

`{(-pi)/2,0}`

C

`{0,pi/2}`

D

`{-pi/2,0,pi/2}`

Text Solution

Verified by Experts

The correct Answer is:
C
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

The range of f(x)=[sin{x}], where [x] denotes greatest integer function

The range of f(x)=[4^(x)+2^(x)+1] (where [.] denotes greatest integer function) is

The range of f(x)=(2+x-[x])/(1-x+[x]). where [1] denotes the greatest integer function is

If f(x)=[sin^(2) x] ([.] denotes the greatest integer function), then

Let f(x) = (x[x])/(x^2+1) : (1, 3) rarr R then range of f(x) is (where [ . ] denotes greatest integer function)

The function,f(x)=[|x|]-|[x]| where [] denotes greatest integer function:

The range of the function f(x)=2+x-[x-3] is, (where [.] denotes greatest integer function):

If domain of y=f(x) is [-4,3], then domain of g(x)=f(|x]|) is,where [.] denotes greatest integer function

ARIHANT MATHS-FUNCTIONS-Exercise (Single Option Correct Type Questions)
  1. Suppose R is relation whose graph is symmetric to both X-axis and Y-ax...

    Text Solution

    |

  2. The area between the curve 2{y} =[x] +1,0 leq y lt 1, where {.} and [....

    Text Solution

    |

  3. If f(x)=sin^(-1)x and g(x)=[sin(cosx)]+[cos(sinx)], then range of f(g(...

    Text Solution

    |

  4. The number of solutions of the equation e^(2x) + e^x-2=[{x^2 + 10x + 1...

    Text Solution

    |

  5. Total number of values of x, of the form 1/n, n in N in the interval ...

    Text Solution

    |

  6. The sum of the maximum and minimum values of the function f(x)=1/(1+(2...

    Text Solution

    |

  7. Let f: X -> Ybe an invertible function. Show that the inverse of f^(-...

    Text Solution

    |

  8. The range of values of a so that all the roots of the equations 2x^(3)...

    Text Solution

    |

  9. If f(x) is continuous such that abs(f(x)) le 1, forall x in R " and " ...

    Text Solution

    |

  10. Let f(x)=sqrt(|x|-{x}), where {.} denotes the fractional part of x an ...

    Text Solution

    |

  11. If the graphs of the functionsy= log (e)x and y = ax intersect at exac...

    Text Solution

    |

  12. A quadratic polynominal maps from [-2,3] onto [0,3] and touches X-axis...

    Text Solution

    |

  13. The range of the function y=sqrt(2{x}-{x}^2-3/4) (where, denotes the f...

    Text Solution

    |

  14. Let f(x) be a fourth differentiable function such f(2x^2-1)=2xf(x)AA x...

    Text Solution

    |

  15. The number of solutions of the equation [y+[y]]=2 cosx, where y=(1)...

    Text Solution

    |

  16. If a function satisfies f(x+1)+f(x-1)=sqrt(2)f(x), then period of f(x)...

    Text Solution

    |

  17. If x and alpha are real, then the inequation log(2)x+log(x)2+2cos al...

    Text Solution

    |

  18. The range of values of ‘a' such that (1/2)^|x|= x² - a is satisfied f...

    Text Solution

    |

  19. Let f:R rarr R be a function defined by f(x)={abs(cosx)}, where {x} re...

    Text Solution

    |

  20. The domain of the function f(x)=sqrt(log(sinx+cosx)(abs(cosx)+cosx))...

    Text Solution

    |