Home
Class 12
MATHS
Let f={(1,a),(2,b),(3,c),(4,d)} and g={(...

Let f={(1,a),(2,b),(3,c),(4,d)} and g={(a,x),(b,x),(c,y),(d,x)} Determine gof and fog if possible. Test whether fog=gof.

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2020

    SHARAM PUBLICATION|Exercise EXERCISE|47 Videos
  • THREE DIMENSIONAL GEOMETRY

    SHARAM PUBLICATION|Exercise EXAMPLE|96 Videos

Similar Questions

Explore conceptually related problems

Let f= {(1,3),(2,4),(3,7)} and g ={(3,2),(4,3),(7,1)} Determine gof and fog if possible . Test whether fog =gof.

Let f = {(1,3), (2,4), (3,7)} and g = {(3,2), (4,3), (7,1)} determine gof?

If A = {a,b,c,d} and the function f = {(a,b),(b,d),(c,a),(d,c)}, then write f^(-1) .

If A= {a,b,c,d) and the function f = {(a,b),(b,d), (c,a), (d,c)}, then write f^(-1) .

If the mapping f and g are given by f= {(1,2), (3, 4), (5, 6), (7, 8)}, g={(2, 5),(4, 7),(6, 3),(8, 1)} then find (i) gof (ii) fog. Hence show that composition of functions is not commutative.

If f(x)=sqrtx and g(x)=1-x^2 , then find gof and fog. If h(x)=1-x , then whether gof=h?

If the mappings f and g are given by f={(1,2),(3,5),(4,1) and g={(2,3),(5,1),(1,3)}, then write fog.

If f(x) = x +7 and g(x) = x-7, x in R then find fog (6).

SHARAM PUBLICATION-RELATIONS AND FUNCTIONS-EXAMPLE
  1. If ff(x)=cos[pi^2]x+cos[-pi^2]x where [x] stands for the greatest inte...

    Text Solution

    |

  2. If f:RrarrR,g :RrarrR and h : RrarrR such that f(x)=x^2, g(x)= tan x a...

    Text Solution

    |

  3. If p is a prime and ab-=0 (mod p) then show that either a=0 (mod p) or...

    Text Solution

    |

  4. Prove that the relation R on the set Z of all integers defined by R={(...

    Text Solution

    |

  5. Let n be positive integer and a function f be defined as f(n)={(0 , wh...

    Text Solution

    |

  6. If f:RrarrR defined by f(x)=5x-8 for all x inR, then show that f is in...

    Text Solution

    |

  7. Show that the inverse of a bijective function is unique.

    Text Solution

    |

  8. Show that the inverse of a bijective is also a bijection.

    Text Solution

    |

  9. Let f={(1,a),(2,b),(3,c),(4,d)} and g={(a,x),(b,x),(c,y),(d,x)} Determ...

    Text Solution

    |

  10. Prove that the greatest integer function f:R rarr R, given by f(x) = [...

    Text Solution

    |

  11. Let A and B be sets. Show that f : A xx B rarr B xx A such that f (...

    Text Solution

    |

  12. Show that the fuction f:RrarrR defined by f (x)=sin x is neither one-...

    Text Solution

    |

  13. If f:N to N is defined by. f(n)={((n+1)/(2)", if n is odd"),((n)/(2)...

    Text Solution

    |

  14. Show that a fuction f:RrarrR given by f(x)=ax+b, a, bin R and a!=0 is ...

    Text Solution

    |

  15. Let* be a binary operation on Q, defined by a*b=(3ab)/(5) .Show that i...

    Text Solution

    |

  16. If A=N xx N and * is a binary operation on A defined by (a, b) ** (c,...

    Text Solution

    |

  17. A binary operation * on the set {0,1,2,3,4,5} is defined as a*b= {{...

    Text Solution

    |

  18. Let us consider a binary operation ** on the set {1, 2, 3, 4, 5} given...

    Text Solution

    |

  19. Let us consider a binary operation ** on the set {1, 2, 3, 4, 5} given...

    Text Solution

    |

  20. Let us consider a binary operation ** on the set {1, 2, 3, 4, 5} given...

    Text Solution

    |