Home
Class 12
MATHS
If f:{5,6}vec{2,3}a n dg:{2,3},vec{5,6} ...

If `f:{5,6}vec{2,3}a n dg:{2,3},vec{5,6}` are given by `f={(5,2),(6,3)}` and `g={(2,5),(3,6)},` find `fogdot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIRECTION COSINES AND DIRECTION RATIOS

    RD SHARMA ENGLISH|Exercise All Questions|90 Videos

  • HIGHER ORDER DERIVATIVES

    RD SHARMA ENGLISH|Exercise All Questions|179 Videos

Similar Questions

Explore conceptually related problems

If f:{5,\ 6}->{2,\ 3} and g:{2,\ 3}->{5,\ 6} are given by f={(5,\ 2),\ (6,\ 3)} and g={(2,\ 5),\ (3,\ 6)}, find fog .

If the function fa n dg are given by f={(1,2),(3,5),(4,1)}a n dg="("(2,3),(5,1),(1,3)"}", find range of fa n dg . Also, write down foga n dgof as sets of ordered pairs.

If f={(1,4),(2,5),(3,6)} and g={(4,8),(5,7),(6,9)} , then gof is

If the mapping f:{1,\ 3,\ 4}->{1,\ 2,\ 5} and g:{1,\ 2,\ 5}->{1,\ 3} , given by f={(1,\ 2),\ (3,\ 5),\ (4,\ 1)} and g={(2,\ 3),\ (5,\ 1),\ (1,\ 3)} , write fogdot

If f and g two functions are defined as : f= {(1,2),(3,6),(4,5)} and g = {(2,3),(6,7),(5,8)}, then find gof.

Find A+B if A = [(2,5),(3,6)] and B = [ (7,9),(6,5)]

Let f a n d g be two functions given by f={(2,4), (5,6), (8,-1), (10 ,-3)} a n d g={(2,5), (7,1),(8,4),(10 , 13),(11,-5)}. Find the Domain of f + g

Find |A| if A = | (5 , 2) , (6 , 3)|

Let f:{2,3,4,5}vec{3,4,5,9}a n dg:{3,4,5,9}vec{7, 11 , 15} be functions defined at f(2)=3,f(3)=4,f(4)=f(5)=5,g(3)=g(4)=7,a n dg(5)=g(9)=11.find gof

If A=[{:(2,-1,3),(4,5,-6):}] and B=[{:(1,2),(3,4),(5,-6):}] then

RD SHARMA ENGLISH-FUNCTION-All Questions
  1. Let R be the set of real numbes. If f: RvecR ;f(x)=x^2 and g: RvecR ;g...

    Text Solution

    |

  2. If f(x)=-4-(x-7)^3 , write f^(-1)(x)dot

    Text Solution

    |

  3. If f:{5,6}vec{2,3}a n dg:{2,3},vec{5,6} are given by f={(5,2),(6,3)} a...

    Text Solution

    |

  4. If a function g={(1,1),(2,3),(3,5),(4,7)} is described by g(x)=alphax+...

    Text Solution

    |

  5. Show that f: R-[0]->R-[0] given by f(x)=3/x is invertible and it is in...

    Text Solution

    |

  6. Let A={1,2,..., n} and B={a , b }. Then number of surjections from A...

    Text Solution

    |

  7. If f: Rvec (-1,1) is defined by f(x)=-(x|x|)/(1+x^2),t h e nf^(-1)(x...

    Text Solution

    |

  8. Let f: ZrarrZ be defined by f(n)=3n for all n in Z and g: ZrarrZ be d...

    Text Solution

    |

  9. Let A={x in R :0lt=xlt=1}dot If f: A->A is defined by f(x)={(x ,, if ...

    Text Solution

    |

  10. Let A=[-1,1]dot Then, discuss whether the following functions from A t...

    Text Solution

    |

  11. Let R be a relation on the set A of ordered pairs of positive intege...

    Text Solution

    |

  12. Let A be a finite set. If f: AvecA is an onto function, show that f is...

    Text Solution

    |

  13. Show that the function f: R-{3}->R-{1} given by f(x)=(x-2)/(x-3) is ...

    Text Solution

    |

  14. Show that the function f: Rvec R given by f(x)=x^3+x is a bijection.

    Text Solution

    |

  15. Let f: Nuu{0}->Nuu{0} be defined by f={(n+1 ,, ifn \ i s \ e v e n),(n...

    Text Solution

    |

  16. Let f: N-[1]vecN be defined by, f(n)= the highest prime factor ofn . S...

    Text Solution

    |

  17. Let A={1,2} . Find all one-to-one function from A to A.

    Text Solution

    |

  18. Let f: Rveca n dg: RvecR be defined by f(x)=x+1a n dg(x)=x-1. Show tha...

    Text Solution

    |

  19. Verify assoiativity for the following three mappings : f: N->Z0 (t...

    Text Solution

    |

  20. If the set A contains 5 elements and the set B contains 6 elements, th...

    Text Solution

    |