Home
Class 12
MATHS
If f(x)^2 xx f((1-x)/(1+x)) = 64 x, x ne...

If `f(x)^2 xx f((1-x)/(1+x)) = 64 x, x ne 0,1` then f(x) is equal to

A

`x^(2//3)((1-x)/(1+x))^(1//3)`

B

`4x^(2//3)((1+x)/(1-x))^(1//3)`

C

`x^(1//3)((1-x)/(1+x))^(1//3)`

D

`x((1+x)/(1-x))^(1//3)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • INVERSE-TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE|111 Videos

  • INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|768 Videos

  • LINEAR PROGRAMMING

    MODERN PUBLICATION|Exercise EXERCISE|156 Videos

Similar Questions

Explore conceptually related problems

If f(x) = log |x|, then for x ne 0 f'(x) is equal to

If f(x)=log((1+x)/(1-x)) , then f((2x)/(1+x^2)) equal to:

If f(x)=(x-1)/(x+1) , then f(f(a x)) in terms of f(x) is equal to (a)(f(x)-1)/(a(f(x)-1)) (b) (f(x)+1)/(a(f(x)-1)) (f(x)-1)/(a(f(x)+1)) (d) (f(x)+1)/(a(f(x)+1))

If f(x) = (1 - x) tan (pi x)/(2) then "limit"_(x->1) f(x) is equal to :

If f(x) = (x-1)/(x+1) , x ne -1 then show that f(f(x)) =(-1)/x

If f(x) = (x - 1)/(x+1), x ne -1 , Examine whether f(x) is invertible or not. If f (x) is invertible, then find ^f-1 (x) .

If function f(x) = (sqrt(1+x) - root(3)(1+x))/(x) is continuous function at x = 0, then f(0) is equal to

Let f(x) = (2^(1/x))/(1+2^(1/x)) for x ne 0 . Find f(0) if f is right continuous at x = 0

Let f(x) = (e^(1//x))/(1+e^(1//x)) for x ne 0 . Find f (0) if f is left continuous at x = 0

MODERN PUBLICATION-INVERSE-TRIGONOMETRIC FUNCTIONS-EXERCISE
  1. Let a and b be constants f(x) = a sin x + bx cos x + 2x^2 If f(3) = 15...

    Text Solution

    |

  2. Number of solution of the equations: f(x-1) + f(x+1) = sin a, 0 < a , ...

    Text Solution

    |

  3. If A={1,2,3}, B={1,3,5,7,9}, the ratio of number of one-one functions ...

    Text Solution

    |

  4. The value of f(x) = x+2, then f(12)=K ,where K equals

    Text Solution

    |

  5. If a , b are two natural numbers in AP such that a + b = 12 The ...

    Text Solution

    |

  6. If a,b are positive number and product of ab= 2500.The minimum value o...

    Text Solution

    |

  7. If f(x)^2 xx f((1-x)/(1+x)) = 64 x, x ne 0,1 then f(x) is equal to

    Text Solution

    |

  8. If f(x)= 6x+9,then domain of f(x) is

    Text Solution

    |

  9. A relation R on A={1,2,3} given by R={1,2), (1, 2), (3, 3)} is not sym...

    Text Solution

    |

  10. Let ** be a binary operation on N given by a ** b= HCF (a, b), a, b, ...

    Text Solution

    |

  11. Find the value of sin^(-1)(sin""(2pi)/(3))

    Text Solution

    |

  12. Evaluate cot(tan^-1a +cot^-1a)

    Text Solution

    |

  13. Show that the relation R defined by (a, b) R(c,d)implies a+d=b+c in...

    Text Solution

    |

  14. Find fog if f(x) = |x| and g(x) = |5x-2|

    Text Solution

    |

  15. Consider f : {1, 2, 3} rarr {a, b, c}, given by f (1) = a, f (2) = b ...

    Text Solution

    |

  16. Let '*' be a binary operation on Q defined by a * b = (3ab)/5. Show th...

    Text Solution

    |

  17. Prove that : tan^-1(1/2) + tan^-1(1/5) + tan^-1(1/8) = pi/4

    Text Solution

    |

  18. find the value of x: 3 sin^-1(2x)/(1+x^2) - 4 cos^-1((1-x^2)/(1+x^2))...

    Text Solution

    |

  19. Prove the following: cos[tan^-1{sin(cot^-1x)}]=sqrt((1+x^2)/(2+x^2))

    Text Solution

    |

  20. Define a binary operation * on the set {0,1,2,3,4,5} as a*b = {:{(a+...

    Text Solution

    |