Home
Class 11
MATHS
If f(x)=(3x-7)/(5x-3) then (fof)(x)=...

If `f(x)=(3x-7)/(5x-3)` then `(fof)(x)=`

A

`x`

B

`-x`

C

`3x`

D

`f(x)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE -II|165 Videos
  • ERRORS AND APPROXIMATIONS

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTION|15 Videos
  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise PRACTICE SHEET Exercise-I (Level-II) (Straight Objective Type Questions)|13 Videos

Similar Questions

Explore conceptually related problems

If f(x) = (3x+2)/(5x-3) , then

If f(x) =(10-x^(7))^(1//7) , then fof(x)=

If f(x)=3x-5 , then f^(-1)(x)

If f: [1, oo) rarr [5, oo) is given by f(x) = 3x + (2)/(x) , then f^(-1) (x) =

Show that if f :R {(7)/(5)} to R - {(3)/(5)} is defined by f (x) = (3x +4)/( 5x -7) and g :R - {(3/(5)} to R - {(7)/(5)} is defined by g (x) = (7x +4)/(5x -3), then fog = I _(A) and gof =I _(B), where, A = R - {(3)/(5)}, B+R -{(7)/(5)},I_(A)(x) =x, AA x in A, I_(B)|(x) =x , AA x in B are called identity functions on sets A and B, respectively.

Find f(x)=7^(3+3x)(x gt0) , then find f'(x) .

If f(x)=(4-(x-7)^(3))^(1/5) , then f^(-1)(x)=

3x-7 gt 5x-1

AAKASH SERIES-FUNCTIONS -PRACTICE EXERCISE
  1. If f(x)=(3x-7)/(5x-3) then (fof)(x)=

    Text Solution

    |

  2. If f:RR rarrRR and g:RR rarrRR are defined by f(x)=2x+3 and g(x)=x^(2)...

    Text Solution

    |

  3. f: R to R is defined by f(x) =x^(2)-5x. Then the inverse image set of ...

    Text Solution

    |

  4. If f: R to [0, infty) defined by f(x) = 10^(x) then f^(-1)(x)=

    Text Solution

    |

  5. The range of 10^(-x) is:

    Text Solution

    |

  6. The range of |x-2|+|x-5| is:

    Text Solution

    |

  7. If A, B are two sets such that n(A) = 15, n(B) = 20, then the number o...

    Text Solution

    |

  8. The number of surjections that can be defined from {1, 2, 3, 4, 5} ont...

    Text Solution

    |

  9. The number of constant functions that can be defined from {1, 2, ……….,...

    Text Solution

    |

  10. If f, g, h are functions from R to R such that f(x) = x^(2)+1, g(x) =s...

    Text Solution

    |

  11. If f(x)=sin(logx), then f(xy)+f(x//y)-2f(x)cos (logy)=

    Text Solution

    |

  12. If f(x)=(1)/(2)[3^(x)+3^(-x)], g(x)=(1)/(2)[3^(x)-3^(-x)] then f(x)g(y...

    Text Solution

    |

  13. If f(x) =cos[pi^(2)]x + cos[-pi^(2)]x where [x] is symmetrical about t...

    Text Solution

    |

  14. The graph of the function y = f(x) is symmetrical about the line x = 3...

    Text Solution

    |

  15. Let f(x) = ax^(3) + bx +c. Then when f is odd,

    Text Solution

    |

  16. a) The number of elements in the range of a constant function. (b) I...

    Text Solution

    |

  17. The value of parameter alpha, for which the function f(x) =1+alphax, a...

    Text Solution

    |

  18. Let f:[4, infty) to [1, infty) be a function defined by f(x) = 5^(x(x-...

    Text Solution

    |

  19. If f: R to R and g: R to R are defined by f(x) =3x-4, g(x)=2+3x and 2(...

    Text Solution

    |

  20. The domain of the definition of the function f(x) = sqrt(4^(x) + 8^(...

    Text Solution

    |