Home
Class 12
MATHS
If f^2(x)*f((1-x)/(1+x))=x^3, [x!=-1,1 a...

If `f^2(x)*f((1-x)/(1+x))=x^3, [x!=-1,1 and f(x)!=0],` then find `|[f(-2)]|` (where [] is the greatest integer function).

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|12 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise FUNCTION EXERCISE 7: Subjective Type Questions|1 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise FUNCTION EXERCISE 5: Matching Type Questions|1 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

f(x)=1/sqrt([x]^(2)-[x]-6) , where [*] denotes the greatest integer function.

If f(x) =[ sin ^(-1)(sin 2x )] (where, [] denotes the greatest integer function ), then

If f(x)=e^(sin(x-[x])cospix) , where [x] denotes the greatest integer function, then f(x) is

If f(x)=(sin([x]pi))/(x^2+x+1) , where [dot] denotes the greatest integer function, then

f(x)= cosec^(-1)[1+sin^(2)x] , where [*] denotes the greatest integer function. then range of f(x) is

If the domain of y=f(x) is [-3,2] , then find the domain of g(x)=f([x]), where [] denotes the greatest integer function.

Find the domain and range of f(x)=log[ cos|x|+1/2] ,where [.] denotes the greatest integer function.

If f(x) = {{:(|1-4x^(2)|",",0 le x lt 1),([x^(2)-2x]",",1 le x lt 2):} , where [] denotes the greatest integer function, then

f(x)=sin^(-1)[2x^(2)-3] , where [*] denotes the greatest integer function. Find the domain of f(x).

The function f(x) = [x] cos((2x-1)/2) pi where [ ] denotes the greatest integer function, is discontinuous

ARIHANT MATHS-FUNCTIONS-Exercise (Single Integer Answer Type Questions)
  1. The minimum value of the fuction f(x) given by f(x)=x^m/m+x^(−n)/n whe...

    Text Solution

    |

  2. If x^(2)+y^(2)=4 then find the maximum value of (x^(3)+y^(3))/(x+y)

    Text Solution

    |

  3. Let f(n) denotes the square of the sum of the digits of natural number...

    Text Solution

    |

  4. If [sinx]+[x/(2pi)]+[(2x)/(5pi)]=(9x)/(10pi), where [*] denotes the gr...

    Text Solution

    |

  5. The number of integral solutions of 1/x+1/y=1/6 " with " x le y " is "...

    Text Solution

    |

  6. If f(x) is a polynominal of degree 4 with leading coefficient '1' sati...

    Text Solution

    |

  7. If a+b = 3- cos 4 theta and a-b =4 sin 2theta, then ab is always less ...

    Text Solution

    |

  8. Let 'n' be the number of elements in the domain set of the function f(...

    Text Solution

    |

  9. Let f(x) be a function such that , f(x-1)+f(c+1)=sqrt(3)f(x), forall x...

    Text Solution

    |

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

    Text Solution

    |

  11. Let f be a function from the set of positive integers to the set of re...

    Text Solution

    |

  12. If f(x)=(x^(4)+x^(2)+1)/(x^(2)-x+1), the value of f(omega^(n)) (where ...

    Text Solution

    |

  13. If f^2(x)*f((1-x)/(1+x))=x^3, [x!=-1,1 and f(x)!=0], then find |[f(-2)...

    Text Solution

    |

  14. An odd function is symmetric about the vertical line x=a ,(a >0),a n d...

    Text Solution

    |

  15. L e t(e^x-e^(-x))/(e^x+e^(-x))=lnsqrt((1+x)/(1-x)),then find x.

    Text Solution

    |

  16. If x is real, the maximum value of (3x^(2)+9x+17)/(3x^(2)+9x+7) is (...

    Text Solution

    |

  17. If f(x) satisfies the relation f(x)+f(x+4)=f(x+2)+f(x+6) for allx , th...

    Text Solution

    |

  18. A non-zero function f (x) is symmetrical about the line y=x then the v...

    Text Solution

    |

  19. Let f:R rarr R and f(x)=(3x^(2)+mx+n)/(x^(2)+1). If the range of this ...

    Text Solution

    |

  20. Let f(x)be a monotic ploynomial of degree (2m-1) where m in N Then the...

    Text Solution

    |