Home
Class 12
MATHS
Consider the function f(x)=(x-1)/(x+1) ...

Consider the function `f(x)=(x-1)/(x+1)`
What is f(2x) equal to ?

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
`f(x)=(x-1)/(x+1)impliesx=(1+f(x))/(1-f(x))`
`impliesf(2x)=(2x-1)/(2x+1)impliesf(2x)=(2[([1+f(x)])/(1-f(x))]-1)/(2[([1+f(x)])/(1-f(x))]+1)`
`impliesf(2x)=(3f(x)+1)/(f(x)+3)`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    NDA PREVIOUS YEARS|Exercise MCQs|119 Videos

  • HEIGHT & DISTANCE

    NDA PREVIOUS YEARS|Exercise Math|45 Videos

Similar Questions

Explore conceptually related problems

Consider the function f(x)=(x-1)/(x+1) What is f(f(x)) equal to ?

Consider the function f(x)=|x^(2)-5x+6| What is f'(4) equal to ?

Consider the function f(x)=(x-1)/(x+1) What (f(x)+1)/(f(x)-1) equal to ?

consider the function f(x)=(x^(2))/(x^(2)-1) f has

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

Consider the function f(x)=(x-1)^(2)(x+1)(x-2)^(3) What is the number of point of local maxima of the function f(x)?

Consider the function f(x)=(x-1)^(2)(x+1)(x-2)^(3) What is the number of point of local minima of the function f(x)?

Consider the function f(x)=(x-1)^(2)(x+1)(x-2)^(3). What is the number of points of local minima of the function f(x)? What is the number of points of local maxima of the function f(x)?

NDA PREVIOUS YEARS-FUNCTIONS, LIMIT, CONTINUITY AND DIFFERENTIABILITY-MCQs
  1. If f(x)=ax+bandg(x)=cx+d such that f[g(x)]=g[f(x)] then which one of t...

    Text Solution

    |

  2. Consider the function f(x)=(x-1)/(x+1) What (f(x)+1)/(f(x)-1) equal ...

    Text Solution

    |

  3. Consider the function f(x)=(x-1)/(x+1) What is f(2x) equal to ?

    Text Solution

    |

  4. Consider the function f(x)=(x-1)/(x+1) What is f(f(x)) equal to ?

    Text Solution

    |

  5. Consider the function f(x)={{:(x^(2)-5,xle3),(sqrt(x+13),xgt3):} Wha...

    Text Solution

    |

  6. Consider the function f(x)={{:(x^(2)-5,xle3),(sqrt(x+13),xgt3):} Con...

    Text Solution

    |

  7. Consider the function f(x)={{:(x^(2)-5,xle3),(sqrt(x+13),xgt3):} Wha...

    Text Solution

    |

  8. Consider the function f(x)={{:(tankx",",xlt0),(3x+2k^(2)",",xge0):} ...

    Text Solution

    |

  9. Consider the following statements: 1. The function f(x)=[x] where [....

    Text Solution

    |

  10. What is lim(xto0) (log(5)(1+x))/(x) equal to?

    Text Solution

    |

  11. What is lim(xto0) (5^(x)-1)/(x) equal to ?

    Text Solution

    |

  12. What is lim(ntooo) (1+2+3+......+n)/(1^(2)+2^(2)+3^(2)+......n^(2))

    Text Solution

    |

  13. Given that lim(xtooo) ((2+x^(2))/(1+x)-Ax-B)=3 What is the value of ...

    Text Solution

    |

  14. Given that lim(xtooo) ((2+x^(2))/(1+x)-Ax-B)=3 What is the value of ...

    Text Solution

    |

  15. Given that lim(x to oo ) ((2+x^(2))/(1+x)-Ax-B)=3 If G(x)=sqrt(25-x^...

    Text Solution

    |

  16. Cosider the following statements: 1. f(x)=[x], where [.] is the greate...

    Text Solution

    |

  17. If f(x)=log(e)((1+x)/(1-x)),g(x)=(3x+x^(3))/(1+3x^(2))andgof(t)=g(f(t)...

    Text Solution

    |

  18. Given a function f(x)={{:(-1,If,xle0),(ax+b,If,0ltxlt1),(1,If,xge1):...

    Text Solution

    |

  19. Given a function f(x)={{:(-1,If,xle0),(ax+b,If,0ltxlt1),(1,If,xge1):...

    Text Solution

    |

  20. Consider the following functions: 1. f(x)=x^(3),x""inRR 2. f(x)=si...

    Text Solution

    |