Home
Class 12
MATHS
find the range of the function f(x)=1/(...

find the range of the function `f(x)=1/(2{-x})-{x}` occurs at x equals where {.} represents the fractional part functional

Text Solution

Verified by Experts

The correct Answer is:
`[sqrt(2)-1oo)`
NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise SSP|55 Videos

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise JEE MAIN|15 Videos

  • NUMBER THEORY

    RESONANCE|Exercise Exercise -2 (PART - II)|4 Videos

  • SEQUENCE & SERIES

    RESONANCE|Exercise EXERCISE -2 (PART-II : PREVIOUSLY ASKED QUESTION OF RMO)|3 Videos

Similar Questions

Explore conceptually related problems

Solve : x^(2) = {x} , where {x} represents the fractional part function.

The domain of the function f(x)=(1)/(sqrt({x}))-ln(x-2{x}) is (where {.} denotes the fractional part function)

If x in[2,3) ,then {x} equals, where {.} denotes fractional part function.

Draw the graph of y={|x|} , where {.} represents the fractional part function.

Draw the graph of |y|={x} , where {.} represents the fractional part function.

Find the range of the function f(x)=abs(x-a)/(x-a) , x is not equal to a

Range of the function f (x) =cot ^(-1){-x}+ sin ^(-1){x} + cos ^(-1) {x}, where {.} denotes fractional part function:

Range of the function f(x)=cot^(-1){-x}+sin^(-1){x}+cos^(-1){x} , where {*} denotes fractional part function

Domain of the function f(x)=log_(e)cos^(-1){sqrt(x)}, where {.} represents fractional part function

The number of integers in the range of the function f(x)=(x-[x])/(1+{x}) x(where [.] and {.} denote the integral part and fractional part functions respectively is

RESONANCE-RELATION, FUNCTION & ITF-HLP_TYPE
  1. Find the domain of the following function: 3^(y)+2x^(4)=2^(4x^(2)-1)

    Text Solution

    |

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

    Text Solution

    |

  3. find the range of the function f(x)=1/(2{-x})-{x} occurs at x equals ...

    Text Solution

    |

  4. If f:RtoR,f(x)=(sqrt(x^(2)+1)-3x)/(sqrt(x^(2)+1)+x) then find the rang...

    Text Solution

    |

  5. If a function is defined as f(x)=sqrt(log(h(x))g(x)), where g(x)=|sinx...

    Text Solution

    |

  6. Find the domain and range of the following function: f(x)=cos^(-1)sq...

    Text Solution

    |

  7. Find the domain and range of the following function: f(x)=sqrt(log(1...

    Text Solution

    |

  8. f(x)=sin^-1[log2(x^2/2)] where [ . ] denotes the greatest integer func...

    Text Solution

    |

  9. Find the domain and range of the following function: f(x)=log([x-1])...

    Text Solution

    |

  10. Find the domain and range of the following function: f(x)=tan^(-1)(s...

    Text Solution

    |

  11. If f(x)=(sin^2x+4sinx+5)/(2sin^2x+8sinx+8) then range of f(x) is

    Text Solution

    |

  12. Find range of the function f(x)=log(2)[3x-[x+[x+[x]]]] (where [.] is...

    Text Solution

    |

  13. If f(x)=1/(x^(2)+1) and g(x)=sinpix+8{x/2} where {.} denotes fractiona...

    Text Solution

    |

  14. If the range of the function f(x)={x/4}+cospi(((1-2[x]))/2)="sin"((pi[...

    Text Solution

    |

  15. The period of sin(pi/4)x+cos(pi/2)x+cos(pi/3)x is

    Text Solution

    |

  16. Consider the function g(x) defined as g(x) (x^(2011-1)-1)=(x+1)(x^2+1)...

    Text Solution

    |

  17. It is given that f 9x) is difined on R satisfyinf f (1)=1 and for AA ...

    Text Solution

    |

  18. Find the integral solutions to the equation [x][y]=x+y . Show that all...

    Text Solution

    |

  19. Let f(x)=A x^2+B x+c ,w h e r eA ,B ,C are real numbers. Prove that if...

    Text Solution

    |

  20. Suppose X and Y are two sets and f:XtoY is a function. For a subset A ...

    Text Solution

    |