Home
Class 11
MATHS
If f: R to R and g: R to R are defined b...

If `f: R to R` and `g: R to R` are defined by `f(x) =3x-4, g(x)=2+3x` and `2(g^(-1) of^(-1)) (x) gt (f^(-1)og^(-1))(x)`, then `x in `

A

`(1, infty)`

B

`(1/2,infty)`

C

`(-1/2,infty)`

D

`(14,infty)`

Text Solution

Verified by Experts

The correct Answer is:
D
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:R rarr and g:R rarr R are defined by f(x)=3x-4 and g(x)=2+3x then (g^(-1)" of"^(-1))(5)=

If f: R to R and g: R to R are defined by f(x) =x-[x] and g(x) =[x] AA x in R, f(g(x)) =

If f:R to R , g:R to R are defined by f(x) = 3x-1, g(x)=x^(2)+1 then find (ii) (gof)(x).

If f:R to R , g:R to R are defined by f(x) = 3x-1, g(x)=x^(2)+1 then find (i) (fog)(2)

If f: R to R, g : R to R functions defined by f(x) = 3x-2, g(x) =x^(2)+1 , then (gof^(-1)) (2)=

If f:R to R,g:R to R are defined by f(x)=3x-2,g(x)=x^(2)+1 , then find (i) (gof^(-1))(2)

If f:R to R,g:R to R are defined by f(x)=2x-3,g(x)=x^(3)+5 then find ("fog")^(-1)(x)

AAKASH SERIES-FUNCTIONS -PRACTICE EXERCISE
  1. The value of parameter alpha, for which the function f(x) =1+alphax, a...

    Text Solution

    |

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

    Text Solution

    |

  3. 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

    |

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

    Text Solution

    |

  5. The domain of f(x) =sqrt((x-1)(x+1)(x+2)) is:

    Text Solution

    |

  6. The number of positive integers x , for which the function f(x) = sqrt...

    Text Solution

    |

  7. The domain of f(x) = sqrt(x^(2) + 2|x|-3) is

    Text Solution

    |

  8. find the domain of g(x) 1/sqrt(|x|-x)

    Text Solution

    |

  9. The domain of real function sqrt(log(9)x^(2)) is given by:

    Text Solution

    |

  10. If 1-e^(1/x-1) gt 0, then x is not satisfied by………. Number of integral...

    Text Solution

    |

  11. The range of the function sin([x]pi) is:

    Text Solution

    |

  12. The range of the function cos(pi[x]) is

    Text Solution

    |

  13. The range of the functions. Observe the following lists. The cor...

    Text Solution

    |

  14. If f: R to R defined by f(x) =x for x ge 2 and f(x) =5x-2 for x lt 2, ...

    Text Solution

    |

  15. If f:[0, oo) to [0,oo) is defined by f (x) = (x)/(1+ x) , then f is

    Text Solution

    |

  16. Statement-1: f : R -{0} to R-{0} defined by f(x) =1/x is bijective ...

    Text Solution

    |

  17. If A = {1, 2, 3,4} and B = {x, y, z, w} , then a) Number of mappings...

    Text Solution

    |

  18. Observe the following Lists: Then the match for List -1 from Lis...

    Text Solution

    |

  19. The domain of Cos^(-1).(x-3)/(2)-log(10(4-x) is

    Text Solution

    |

  20. Assertion (A) : If f : R to R defined by f(x) =sin^(-1)(x/2) + log(10)...

    Text Solution

    |