Home
Class 12
MATHS
Let f be a real valued function, defined...

Let f be a real valued function, defined on `R-{-1, 1}` and given by `f(x)=3log_(e)|(x-1)/(x+1)|-(2)/(x-1)`
Then in which of the following intervals, function f(x) is increasing ?

A

`(-1,(1)/(2)]`

B

`(-oo,-1)cup([(1)/(2),oo)-{1})`

C

`(-oo,oo)-{-1,1}`

D

`(-oo,(1)/(2)]-{-1}`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS SECTION B|20 Videos

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos

  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos

Similar Questions

Explore conceptually related problems

Let f be as real valued function defined by f(x)=x^(2)+1. Find fprime ^(^^)(2)

Let f be a real-valued function defined by f(x) = 3x^(2) + 2x + 5 Find f(1).

Let f(x) be a real valued function defined for all xge1 , satistying f(1)=1 and f'(x)=1/(x^(2)+(f(x))) , then lim_(xtooo)f(x)

On which of the following intervals is the function 'f' given by f(x)=x^(100)+sinx-1 strictly increasing?

Let f and g be two real values functions defined by f(x)=x+1 and g(x)=2x-3 Find 1)f+g,2 ) f-g,3 ) (f)/(g)

If f(x) is a real valued function defined as f(x)=In(1-sin x) then graph of f(x) is

If is a real valued function defined by f(x)=x^(2)+4x+3, then find f'(1) and f'(3)

Suppose f, g, and h be three real valued function defined on R. Let f(x) = 2x + |x|, g(x) = (1)/(3)(2x-|x|) and h(x) = f(g(x)) The domain of definition of the function l (x) = sin^(-1) ( f(x) - g (x) ) is equal to

Let (x) is a real function, defines as f(x) =(x-1)/(x+1), then prove that f(2x)=(3f(x)+1)/(f(x)+3).

If f is a real function defined by f(x)=(x-1)/(x+1), then prove that f(2x)=(3f(x)+1)/(f(x)+3)

JEE MAINS PREVIOUS YEAR-JEE MAIN 2021-Mathematic section A
  1. Let C be the locus of the mirror image of a point on the parabola y^(2...

    Text Solution

    |

  2. Let veca=hati+2hatj-3hatk and vecb=2hati-3hatj+5hatk. If vecrxxveca=ve...

    Text Solution

    |

  3. Let (x,y,z) be an arbitrary point lying on a plane P which passes thro...

    Text Solution

    |

  4. Let f be a real valued function, defined on R-{-1, 1} and given by f(x...

    Text Solution

    |

  5. Let A denote the event that a 6-digit integer formed by 0, 1, 2, 3, 4,...

    Text Solution

    |

  6. Let C, be the curve obtained by the solution of differential equation ...

    Text Solution

    |

  7. The least value of |z| where z is complex number which satisfies the i...

    Text Solution

    |

  8. Let C(1) be the curve obtained by the solution of differential equatio...

    Text Solution

    |

  9. Let A(-1, 1), B(3, 4) and C(2,0) be given three points. A line y=mx,mg...

    Text Solution

    |

  10. Let f:StoS where S=(0,oo) be a twice differentiable function such that...

    Text Solution

    |

  11. Let the lengths of intercepts on x-axis and y-axis made by the circle ...

    Text Solution

    |

  12. Given that the inverse trigonometric functions take principal values o...

    Text Solution

    |

  13. If the foot of the perpendicular from point (4, 3,8) on the line L(1):...

    Text Solution

    |

  14. Let A = (1,2, 3, 4, 5, ..., 30) and ~=be an equivalence relation on Ax...

    Text Solution

    |

  15. Consider a rectangle ABCD having 5, 7, 6, 9 points in the interior of ...

    Text Solution

    |

  16. Let P(x)=x^(2)+bx+c be a quadratic polynomial with real coefficients s...

    Text Solution

    |

  17. Consider the integral I=int(0)^(10)([x]e^([x]))/(e^(x-1))dx, where [x]...

    Text Solution

    |

  18. Let alphainR be such that the function f(x)={{:((cos^(-1)(1-{x}^(2))si...

    Text Solution

    |

  19. The maximum value of f(x)=|(sin^(2)x,1+cos^(2)x,cos2x),(1+sin^(2)x,cos...

    Text Solution

    |

  20. If the points of intersections of the ellipse (x^(2))/(16)+(y^(2))/(b^...

    Text Solution

    |