Home
Class 12
MATHS
Find the range of the following function...

Find the range of the following function
`f(x)=sin^(-1)[x^2+1/2]+cos^(-1)[x^2-1/2]`, [.] denotes the Greatest integer function.

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

Find the ranges of the following functions : y=(x)/(1+x^2)

Find the ranges of the following functions : y=(x^2)/(1+x^2)

Find the ranges of the following functions : (1)/(2-sin3x)

Find the range of the function f(x)=(1)/(2+sin3x)

Find the ranges of the following functions : y=(1)/(3-cos2x)

Find the range of the following function f(x)=|x-1|+|x-2|,-1lexle3 is

Find the domain of the function: f(x)=sin^(-1)(|x-1|-2)

Identify the following functions: f(x)=cos["x"]+[(sinx)/2] where [dot] denotes the greatest integer function.

Find the domain and range of the function f(x)="sin"^(-1)(x^(2))/(2)

The range of the function f(x)=sin^-1(log [x])+log(sin^-1[x]), (where [,] denotes the greatest integer function) is

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. The period of the function f(x)=c^((sin^2x+sin^(2(x+pi/3))+cosxcos(x+p...

    Text Solution

    |

  2. If f(x)a n dg(x) are periodic functions with periods 7 and 11, respect...

    Text Solution

    |

  3. Find the range of the following function f(x)=sin^(-1)[x^2+1/2]+cos^(...

    Text Solution

    |

  4. The domain of f(x)=sqrt(2{x}^2-3{x}+1), where {.} denotes the fraction...

    Text Solution

    |

  5. If g(f(x))=|sinx|a n df(g(x))=(sinsqrt(x))^2 , then a) f(x)=sin^2x ,g...

    Text Solution

    |

  6. Each question has four choices, a,b,c and d,out of which only one is ...

    Text Solution

    |

  7. Let f(n)=1+1/2+1/3++1/ndot Then f(1)+f(2)+f(3)++f(n) is equal to (a)...

    Text Solution

    |

  8. Statement-1 : Solution of (1 + xsqrt(x^2+y^2) ) dx + y (-1 +sqrt(x^2+y...

    Text Solution

    |

  9. If f: R→R ,g(x)=f(x)+3x-1, then the least value of function y=g(|x|) i...

    Text Solution

    |

  10. Let f: R->R be given by f(x)=x^2-3 . Then, f^(-1) is given by (a)sqrt(...

    Text Solution

    |

  11. Let f(x)=(ax + b )/(cx+d). Then the fof (x)=x, provided that : (a!=0,...

    Text Solution

    |

  12. If a function satisfies (x-y) f(x+y)-(x+y) f(x-y) = 2(x^2y - y^3), AA ...

    Text Solution

    |

  13. If f(x)=x^2+x+3/4 and g(x)=x^2+a x+1 be two real functions, then the r...

    Text Solution

    |

  14. A function f (x) is defined for all x in R and satisfies, f(x + y) = f...

    Text Solution

    |

  15. If f(0)=0,f^(prime)(0)=2, then the derivative of y=f(f(f(x))) at x=0 i...

    Text Solution

    |

  16. If domain of f(x) is [1,3] , then the domain of f((log)2(x^2+3x-2))i s...

    Text Solution

    |

  17. If f:R->R is a function satisfying the property f(x+1)+f(x+3) = 2 for ...

    Text Solution

    |

  18. Period of f(x) = sgn([x] +[-x])is equal to (where [.] denotes greatest...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |