Home
Class 11
MATHS
If the functions of f and g are defined ...

If the functions of f and g are defined by `f(x) = 3x-4, g(x) = 2+3x` for `x in R` respectively, then `g^(-1)(f^(-1)(5))=`

A

1

B

`1/2`

C

`1/3`

D

`1/4`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE -II|165 Videos

  • FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|50 Videos

  • FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|12 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 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 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 , g:R to R are defined by f(x) = 3x-1, g(x)=x^(2)+1 then find (i) (fog)(2)

If f:R rarr R, S: R rarr R are defined by f(x) = 3x-4, g(x) = 5x-1 then, (fog^(-1))(2) =

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

If f and g are real functions defined by f(x) =2x-1 and g(x) =x^(2) , then prove that (3f-2g)(1)=1

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).

AAKASH SERIES-FUNCTIONS -EXERCISE -I
  1. Let f: N to Y be a function defined as f(x) = 4x+3 where Y={y in N: y=...

    Text Solution

    |

  2. If f: R to R, g : R to R functions defined by f(x) = 3x-2, g(x) =x^(2)...

    Text Solution

    |

  3. If the functions of f and g are defined by f(x) = 3x-4, g(x) = 2+3x fo...

    Text Solution

    |

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

    Text Solution

    |

  5. The domain of (10^(x) +10^(-x))/(10^(x)-10^(-x)) is:

    Text Solution

    |

  6. The domain of sec 5x is:

    Text Solution

    |

  7. Domain of root(3)(x). cot x is

    Text Solution

    |

  8. The domain of (x+1)/sqrt(x^(2)-5x+6) is:

    Text Solution

    |

  9. The domain of the function: f(x) = log(3)(18x-x^(2)-77) is:

    Text Solution

    |

  10. The domain of log(x)5 is:

    Text Solution

    |

  11. If f(x) =|x/2| is a real function, then f: R to B is a surjection then...

    Text Solution

    |

  12. Let A={x in R : x ne 0, -4le xle4} and f:A rarrR is defined by f(x)=(|...

    Text Solution

    |

  13. Domain , Range of f(x) =|x| + |x+1| are respectively:

    Text Solution

    |

  14. f and h are form A into B where A={a,b,c,d}, B={s,t,u} defined as f(a)...

    Text Solution

    |

  15. A = {1, 2, 5, 6, 11}, B = {2, -1, 1, 0, 11, 108} and f(x) x^(2)-x-2, t...

    Text Solution

    |

  16. The function f: N to N defined by f(n) =2n+3 is

    Text Solution

    |

  17. f: N to A where N is the set of natural numbers and A is the set of e...

    Text Solution

    |

  18. Define f:Z rarrZ by f(x)={{:(x//2,"(x is even)"),(0,"(x is odd)"):} th...

    Text Solution

    |

  19. If f:[0,infty) to R defined by f(x) = x^(2), then f is

    Text Solution

    |

  20. Let X and Y be subsets of R, the set of all real numbers. The function...

    Text Solution

    |