Home
Class 12
MATHS
If functions f and g are given by f = ...

If functions f and g are given by
`f = {(1, 2), (3, 5), (4, 6)}` and
`g = {(2, 3), (5, 1), (6, 3)}`. write down the functions fog and gof.

Text Solution

Verified by Experts

The correct Answer is:
fog is not defined, `gof = {(1,6), (3,4),(4,3),(2,1)}`
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 4

    ARIHANT PUBLICATION|Exercise Long Answer Type Questions|13 Videos
  • SAMPLE PAPER 4

    ARIHANT PUBLICATION|Exercise Long Answer Type Questions|13 Videos
  • SAMPLE PAPER 3

    ARIHANT PUBLICATION|Exercise LONG ANSWER TYPE QUESTIONS |13 Videos
  • SAMPLE PAPER 5

    ARIHANT PUBLICATION|Exercise Long answer type question|13 Videos

Similar Questions

Explore conceptually related problems

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:{1, 3, 4} to {1,2,5} and g:{1,2,5} to {1, 3} given by f = {(1, 2), (3, 5), (4, 1)} and g = {(1, 3), (2, 3), (5, 1)}. Write down gof.

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

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.

Write fog, if f :R to R and g:R to R are given by f(x)= 8x^(3) and g(x) = x^(1//3) .

If f:R to R and g:R to R are given by f(x)=sin x and g(x) =x^(5) , then find gof(x).

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.

If the function'f : R rarr R is given by f(x) = x^(2) +2 and g:R rarr R is given by g(x) = (x)/(x-1), x ne 1 then find fog and gof and hence find fog (2) and gof (-3) .

If A = {1, 2, 3}, B = {4, 5, 6, 7} and f = {(1, 4), (2, 5), (3, 6)} is a function from A to B. State whether f is one-one or not.

ARIHANT PUBLICATION-SAMPLE PAPER 4-Short Answer Type Questions
  1. Solve graphically: Maximize Z=5x+6y subject to 2x+3yle6,x, yge0

    Text Solution

    |

  2. Directions (Q. Nos. 16-25) Prove the following "sin"^(-1)(5/(13))+"c...

    Text Solution

    |

  3. If functions f and g are given by f = {(1, 2), (3, 5), (4, 6)} and ...

    Text Solution

    |

  4. Show that the relation R in the set of real numbers, defined as R = {(...

    Text Solution

    |

  5. Solve tan^(-1) sqrt( x^(2) + x) + sin^(-1) sqrt( x^(2) + x + 1) = sin^...

    Text Solution

    |

  6. Using properties of determinants, prove the following abs{:(a^2, bc, a...

    Text Solution

    |

  7. Solve the matrix [{:(x,-5,-1):}][{:(1,0,2),(0,2,1),(2,0,3):}][{:(x),(4...

    Text Solution

    |

  8. A coin is tossed once, if it shows head it is tossed again. but if it ...

    Text Solution

    |

  9. If A = [(1,3),(1,4),(1,3)], then verify that A (adj A) = |A|.

    Text Solution

    |

  10. If A and B are two independent events such that P(barAcapB)=2/15 and P...

    Text Solution

    |

  11. Show that y = log (1+ x) - (2x) /( 2+x) , x gt -1 is an increasing fun...

    Text Solution

    |

  12. Show that the function f(x)={{:((sinx)/(x)+cosx", if "x!=0),(2", ...

    Text Solution

    |

  13. If y sqrt( 1 - x^(2) ) + x sqrt ( 1 - y^(2) ) = 1, prove that (dy)/( d...

    Text Solution

    |

  14. Prove that the curves y^(2) = 4ax and xy = c^(2) cut at the right angl...

    Text Solution

    |

  15. Using differential find the approximate value of sqrt(0.0037).

    Text Solution

    |

  16. Solve the differential equation (x^(2) - y^(2) ) dx + 2xy dy =0.

    Text Solution

    |

  17. Find the area of region included between the parabola 4y = 3x^(2) and ...

    Text Solution

    |

  18. Evaluate int(0)^(pi//3) (sec x . tanx )/( 1+ sec^(2) x) dx.

    Text Solution

    |

  19. Find int ( dx)/( (x-1) (x +1))

    Text Solution

    |

  20. Form the differential equation representing the family of ellipses hav...

    Text Solution

    |