Home
Class 11
MATHS
If f(x) = (x- 1)/( x + 1) , then f (2 ...

If ` f(x) = (x- 1)/( x + 1)` , then f (2 x) is

A

`(f(x) +1)/( f(x)+3)`

B

`(3 f(x)+1)/(f(x) + 3)`

C

`(f(x) + 3)/( f(x)+1)`

D

`(f(x) + 3)/( 3 f (x) + 1)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    OMEGA PUBLICATION|Exercise IMPORTANT QUESTIONS FROM MISCELLANEOUS EXERCISE|12 Videos
  • PROBABILITY

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs) |15 Videos
  • SAMPLE QUESTION PAPER -1 (PUNJAB)

    OMEGA PUBLICATION|Exercise SECTION - D|6 Videos

Similar Questions

Explore conceptually related problems

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

If f(x) = (x+2)/(3x-1) then f (f(x)) is

If f(x) = (1)/(x^(2) - 17 x + 66) , then f((2)/(x - 2)) is discontinuous at x =

If f: R rarr R is defined by f(x) = x/(x^2 +1) then f(f(2)) is

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

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

if f(x) = (x-1)/(x+1), x ne -1 , then show that : f(f(x)) = -1/x, x ne 0 .

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

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

OMEGA PUBLICATION-RELATIONS AND FUNCTIONS -M.C.Q
  1. If A = {2,4,5} , B = {7,8,9} then n (Axx B) is equal to

    Text Solution

    |

  2. If A = {0,1} and B = {1,0} , then A xx B is equal to

    Text Solution

    |

  3. Let O (A) = m, O(B) = n . Then the number of relations from A to B ...

    Text Solution

    |

  4. A relation R on a set A is called an equivalence relation iff

    Text Solution

    |

  5. If r is a relation on a finite set having n elements, then the num...

    Text Solution

    |

  6. Let A be a set containing 10 distinct elements. Then the total number ...

    Text Solution

    |

  7. The domain of the function f(x) = sqrt(x - 1) + sqrt(6 - x) is

    Text Solution

    |

  8. Find domain for y=1/sqrt(abs(x)-x).

    Text Solution

    |

  9. If the domain of the function f (x) = x^(2) - 6 x + 7 is (-infty, i...

    Text Solution

    |

  10. The range of the function for real x of y = (1)/( 2 - sin 3 x) is

    Text Solution

    |

  11. The range of f (x) = ( 1 + x^(2))/( x^(2))

    Text Solution

    |

  12. f (x) = (| x|)/( x) , x ne 0 then the value of function

    Text Solution

    |

  13. If x ne 1 and f(x) = ( x + 1)/( x - 1) is a real function, then f(f(...

    Text Solution

    |

  14. If f (x) = (2 x + 1)/( 3 x - 2) , then (fof) (2) is equal to

    Text Solution

    |

  15. The relation R defined on N as {(a,b): a^(2) + b^(2) lt 16} is give...

    Text Solution

    |

  16. If A = {0,1} B = {1,2} , c = {2,3} ," then" (A xx B) cap (A xx C) =

    Text Solution

    |

  17. If A be an empty set and B be a finite set having n elements then the...

    Text Solution

    |

  18. If f(x) = (x- 1)/( x + 1) , then f (2 x) is

    Text Solution

    |

  19. The domain of definition of the function f (x) = log |x| is given by

    Text Solution

    |