Home
Class 12
MATHS
A function f:ArarrB,where A={1,2,3} and...

A function `f:ArarrB`,where `A={1,2,3}` and `B={4,5,6}` defined by `f(1)=5`,`f(2)= 6`,`f(3)=4`,Check whether f is a bijection.If it is a bijection,Write `f^-1` as set of ordered pair.

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MAXIMUM PUBLICATION|Exercise EXAMPLE|119 Videos

  • PROBABILITY

    MAXIMUM PUBLICATION|Exercise EXAMPLE|144 Videos

Similar Questions

Explore conceptually related problems

f:{1,2,3,4}to{5} defined by f={(1,5),(2,5),(3,5),(4,5)} . Does the function is invertible?

Let A={1,2,3,4} B={1,5,9,11,15,16} and f={(1,5),(2,9),(3,1),(4,5),(2,1)} . State with the reason whether f is a relation or a function.

Consider the set A={1,2,3,4,5} , and B={1,4,9,16,25} and a function f:AtoB defined by f(1)=1 , f(2)=4 , f(3)=9 , f(4)=16 and f(5)=25 . Does f^-1 exists? Explain.

Consider the set A={1,2,3,4,5} , and B={1,4,9,16,25} and a function f:AtoB defined by f(1)=1 , f(2)=4 , f(3)=9 , f(4)=16 and f(5)=25 . Show that f is one-to-one.

Consider the set A={1,2,3,4,5} , and B={1,4,9,16,25} and a function f:AtoB defined by f(1)=1 , f(2)=4 , f(3)=9 , f(4)=16 and f(5)=25 . Show that f is onto.

Let A = R -{3} , B = R - {1} and let f: A rarr B be defined by f(x) = (x-2)/(x-3) . Check the nature of function.

If f: R rarr R be a function defined by f(x)=4 x^3-7 , show that the function f is a bijective function.

Let A = {1, 2, 3}, B { 4, 5, 6} and let f = {(1,4),(2,5)(3,6)} be a function from A to B. Show that f is one-one.

Consider f : {1, 2, 3} rarr {a, b, c} given by f(1) = a, f(2) = b and f(3) = c. find f^(-1) and show that (f^(-1))^(-1) = f

Let N be the set of Natural numbers. Consider the function f:NtoN defined by f(x)=x+1, x in N Check whether f is an onto function.

MAXIMUM PUBLICATION-MODEL QUESTION-EXAMPLE
  1. Consider the differential equation dy/dx=(x+y)/x Solve the above giv...

    Text Solution

    |

  2. Following table shows a brief description about manufacturing proces...

    Text Solution

    |

  3. A function f:ArarrB,where A={1,2,3} and B={4,5,6} defined by f(1)=5,f...

    Text Solution

    |

  4. The operation table for an operation ast is given below.Given that 1...

    Text Solution

    |

  5. If sin^-1x=y,then

    Text Solution

    |

  6. Write the principal value of sin^-1(frac(1)(2))

    Text Solution

    |

  7. If sin^-1x=pi/4,find the value of cos^-1x

    Text Solution

    |

  8. Find the relation between 'a' and 'b' if the function f defined by f...

    Text Solution

    |

  9. "All continuous function are not differentiable." Justify your answe...

    Text Solution

    |

  10. Find the equation to the tangent to the curve y=x^2-2x+7 at (2,7)

    Text Solution

    |

  11. Integrate int(x+2)/(2x^2+6x+5)dx

    Text Solution

    |

  12. Consider the differential equation xdy/dx+y=1/x^2 Find the integra...

    Text Solution

    |

  13. Solve the differential equation xdy/dx+y=1/x^2.

    Text Solution

    |

  14. If the vectors vec(PQ)=-3i+4j+4k and vec(PR)=-5i+2j+4k are the sides o...

    Text Solution

    |

  15. If the vectors vec(PQ)=-3i+4j+4k and vec(PR)=-5i+2j+4k are the sides o...

    Text Solution

    |

  16. If veca=5i-j-3k and vecb=i+3j+5k,then show that the vectors veca+vecb,...

    Text Solution

    |

  17. If veca=i-2j+3k,vecb=2i+3j-4k and vecc=i-3j+5k,then check whether ve...

    Text Solution

    |

  18. Find the Cartesian equation of the line passing through origin and (5,...

    Text Solution

    |

  19. The point P(x,y,z) lies in the first octant and its distance from the ...

    Text Solution

    |

  20. Solve graphically. Maximise Z=5x+3y Subject to the constraints 3...

    Text Solution

    |