Home
Class 11
MATHS
If A=R-{3} and B=R-{1} and f:AtoB is a m...

If `A=R-{3}` and `B=R-{1}` and `f:AtoB` is a mapping defined by `f(x)=(x-2)/(x-3)` show that f is one-one onto function.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    ICSE|Exercise EXERCISE 2 (a)|24 Videos

  • RELATIONS AND FUNCTIONS

    ICSE|Exercise EXERCISE 2 (b)|26 Videos

  • RELATION AND FUNCTIONS

    ICSE|Exercise MULTIPLE CHOICE QUESTIONS (Choose the correct answer from the given four options in questions)|32 Videos

  • SAMPLE QUESTION PAPER 01

    ICSE|Exercise SECTION C|8 Videos

Similar Questions

Explore conceptually related problems

Let A=R-{2} and B=R-{1} . If f: A->B is a mapping defined by f(x)=(x-1)/(x-2) , show that f is bijective.

Let A=R-{2} and B=R-{1} . If f: A->B is a mapping defined by f(x)=(x-1)/(x-2) , show that f is bijective.

If A=R-{b} and B=R-{1} and function f:AtoB is defined by f(x)=(x-a)/(x-b),aneb then f is

Let A = R - {2}, B = R - {1}. If f : ArarrB is a function defined by f(x) = (x-1)/(x-2) , show that f is one-one and onto.

If A=R-{b} and B=R-{1} and function f:AtoB is defined by f(x)=(x-a)/(x-b),aneb , then f^(-1)(x) is

Let A=R-[2] \ a n d \ B=R-[1] . If f: A->B is a mapping defined by f(x)=(x-1)/(x-2) , show that f is bijective.

Let A=R-{3} and B=R-[1]dot Consider the function f: AvecB defined by f(x)=((x-2)/(x-3))dot Show that f is one-one and onto and hence find f^(-1)

Let A=R-{3} and B=R-[1]dot Consider the function f: AvecB defined by f(x)=((x-2)/(x-3))dot Show that f is one-one and onto and hence find f^(-1)

Let A=R-{3}a n dB=R-{1}dot Consider the function f: Avec defined by f(x)=(x-2)/(x-3)dot Show that is one-one and onto and hence find f^(-1)

Let A = R - {3} and B = R - {1}, consider the function f A rarr B defined by =((x-2)/(x-3)) Show that f'is one-one and onto and hence find/

ICSE-RELATIONS AND FUNCTIONS-EXERCISE 2 (g)
  1. If A=R-{3} and B=R-{1} and f:AtoB is a mapping defined by f(x)=(x-2)/(...

    Text Solution

    |

  2. Draw the graph of function. y=(1)/(|x|)

    Text Solution

    |

  3. draw the graph of function. y=(|x|-x)/(2)

    Text Solution

    |

  4. Draw the graph of function. y=(1)/(|x|)

    Text Solution

    |

  5. Draw the graph of function. y=|4-x^(2)|,-3lexle3.

    Text Solution

    |

  6. Graph each function. y=|x|+x,-2lexle2

    Text Solution

    |

  7. Graph function. y=|x+2|+x

    Text Solution

    |

  8. Copy and complete this table of values :

    Text Solution

    |

  9. Draw the graph y=3^(x) on squared paper, for -2lexle3.

    Text Solution

    |

  10. What features do the graphs of y=2^(x) and y=3^(x) have in common?

    Text Solution

    |

  11. Draw the graphs y=2^(x) and y=((1)/(2))^(x), on the same diagram, for ...

    Text Solution

    |

  12. In the graph of y= 2^(x) and y= (1/2)^(x) Which line is the axis of sy...

    Text Solution

    |

  13. A sketch of the graph y=alog(4)(x+b) is shown. Find the values of a an...

    Text Solution

    |

  14. Diagram (i) shows the curve y=log(a)x. What is the value of a? .

    Text Solution

    |

  15. Diagram (ii) shows the curve y=log(10)(x+p). What is the value of p?

    Text Solution

    |

  16. Sketch the graphs y=2 and y=log(10)2x on the same diagram.

    Text Solution

    |

  17. Find the point of intersection of the graphs by solving the equation l...

    Text Solution

    |

  18. The sketch shows part of the graph y=alog(2)(x-b). Find the values of ...

    Text Solution

    |

  19. Sketch the graphs y=4-x and y=log(10)x on the same diagram.

    Text Solution

    |

  20. (i)sketch the graph y=4-x and y= log(10)x on same graph . (ii) write...

    Text Solution

    |

  21. Sketch the graphs y=4-x and y=log(10)x on the same diagram.

    Text Solution

    |