Home
Class 12
MATHS
If alpha, beta (where alpha lt beta) are...

If `alpha, beta` (where `alpha lt beta`) are the points of discontinuity of the function g(x) = f(f(f(x))), where `f(x) = (1)/(1-x), and P(a, a^(2))` is any point on XY - plane. Then,
The domain of f(g(x)), is

A

`x in R`

B

`x in R - {1}`

C

`x in R - {0, 1}`

D

`x in R - {0, 1, -1}`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise For Session 1|5 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise For Session 2|4 Videos
  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|43 Videos
  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

Similar Questions

Explore conceptually related problems

If alpha, beta (where alpha lt beta ) are the points of discontinuity of the function g(x) = f(f(x)) , where f(x) = (1)/(1-x), and P(a, a^(2)) is any point on XY - plane. Then, If point P(a, a^(2)) lies on the same side as that of (alpha, beta) with respect to line x + 2y - 3 = 0, then

If alpha, beta (where alpha lt beta ) are the points of discontinuity of the function g(x) = f(f(f(x))), where f(x) = (1)/(1-x). Then, The points of discontinuity of g(x) is

Given the function f(x)=(1)/(x+2). Find the points of discontinuity of the function f(f(x))

If alpha,beta(alpha,beta) are the points of discontinuity of the function f(f(x)), where f(x)=(1)/(1-x) then the set of values of a foe which the points (alpha,beta) and (a,a^(2)) lie on the same side of the line x+2y-3=0, is

The number of points of discontinuity of g(x)=f(f(x)) where f(x) is defined as,f(x)={[1+x,0 2

If a, b (altb) be the points of discontinuity of function f(f(f(x))) , where f(x)=1/(1-x),x!=1 , then int_a^b f(x)/(f(x)+f(1-x))dx= (A) 0 (B) 1/2 (C) 1 (D) 2

If f(x)=(x)/(x-1) , then the points of discontinuity of the function f^(15)(x) , where f^(n)=fof………..of (n times), are

Given the function f(x) = 1/( 1-x) , The points of discontinuity of the composite function f[f{f(x)}] are given by

If f(u) = 1/(u^(2)+u-2) , where u = 1/(x-1) , then the points of discontinuity of f are x = …..

ARIHANT MATHS-CONTINUITY AND DIFFERENTIABILITY-Exercise (Questions Asked In Previous 13 Years Exam)
  1. If alpha, beta (where alpha lt beta) are the points of discontinuity o...

    Text Solution

    |

  2. For every pair of continuous functions f,g:[0,1]->R such that max{f(x)...

    Text Solution

    |

  3. Let f:R-> R and g:R-> R be respectively given by f(x) = |x| +1 and g...

    Text Solution

    |

  4. Let f(x)={x^2|(cos)pi/x|, x!=0 and 0,x=0,x in RR, then f is

    Text Solution

    |

  5. Q. For every integer n, let an and bn be real numbers. Let function f:...

    Text Solution

    |

  6. Let f:R->R be a function such that f(x+y)=f(x)+f(y),AA x, y in R.

    Text Solution

    |

  7. "If "f(x)={{:(,-x-(pi)/(2),x le -(pi)/(2)),(,-cos x,-(pi)/(2) lt x le ...

    Text Solution

    |

  8. For the fucntion f(x)=x cos ""1/x, x ge 1 which one of the following i...

    Text Solution

    |

  9. Let g(x) = ((x -1)^(n))/(log cos^(m)(x-1)),0 lt x lt 2, m and n are in...

    Text Solution

    |

  10. Let f and g be real valued functions defined on interval (-1, 1) such ...

    Text Solution

    |

  11. In the following, [x] denotes the greatest integer less than or equal ...

    Text Solution

    |

  12. If f(x)=min.(1,x^2,x^3), then

    Text Solution

    |

  13. Let f(x) = ||x|-1|, then points where, f(x) is not differentiable is/a...

    Text Solution

    |

  14. lff is a differentiable function satisfying f(1/n)=0,AA n>=1,n in I, t...

    Text Solution

    |

  15. The domain of the derivative of the function f(x)={t a n^(-1)x ,if|x|l...

    Text Solution

    |

  16. The left hand derivative of f(x)=[x]sin(pix) at x = k, k is an intege...

    Text Solution

    |

  17. Which of the following functions is differentiable at x = 0? cos (|x|...

    Text Solution

    |

  18. For x in R, f(x) = | log 2- sin x| and g(x) = f(f(x)), then

    Text Solution

    |

  19. If the function g(x)={{:(,k sqrt(x+1),0 le x le3),(,mx+2,3lt xle5):...

    Text Solution

    |

  20. If f and g are differentiable functions in [0, 1] satisfying f(0)""=""...

    Text Solution

    |

  21. The function f(x) = [x] cos((2x-1)/2) pi where [ ] denotes the greate...

    Text Solution

    |