Home
Class 12
MATHS
Let A = {– 1, 0, 1, 2}, B = {– 4, – 2, 0...

Let `A = {– 1, 0, 1, 2}`, `B = {– 4, – 2, 0, 2}` and `f, g : A rarr B`, be functions defined by `f (x) = x^2 – x`, `x in A` and g(x)= 2|x-(1/2)|-1, x in A`. Are f and g equal? Justify your answer.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|401 Videos

  • PROBABILITY

    PRADEEP PUBLICATION|Exercise EXERCISE|467 Videos

  • THREE DIMENSIONAL GEOMETRY

    PRADEEP PUBLICATION|Exercise EXERCISE|373 Videos

Similar Questions

Explore conceptually related problems

Let X = (-2,-1,0,1,2,3) and Y = (0,1,2,…..,10) and f : X rarr Y be a function defined by f(x) = x^2 for all x in X, find f^-1 (A) where A = (0,1,2,4)

If f, g: Rrarr R are defined by f(x) = x^2 + 3x+1,g(x) = 2x – 3 then find fog .

If f, g: Rrarr R are defined by f(x) = x^2 + 3x+1,g(x) = 2x – 3 then find gof .

Let f and g be two functions defined by f(x) = sqrt(x-1) and g(x)= sqrt (4-x^2) . Find : f/g .

Let f and g be two functions defined by f(x) = sqrt(x-1) and g(x)= sqrt (4-x^2) . Find : g/f .

Let f and g be two functions defined by f(x) = sqrt(x-1) and g(x)= sqrt (4-x^2) . Find : g - f .

Let f and g be two functions defined by f(x) = sqrt(x-1) and g(x)= sqrt (4-x^2) . Find : gf .

Let f and g be two functions defined by f(x) = sqrt(x-1) and g(x)= sqrt (4-x^2) . Find : fg .

PRADEEP PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE
  1. Given a non-empty set X, let * : P(X)xxP(X)rarrP(X), be defined as A *...

    Text Solution

    |

  2. Define a binary operation * on the set {0,1,2,3,4,5} as a*b = {:{(a+...

    Text Solution

    |

  3. Let A = {– 1, 0, 1, 2}, B = {– 4, – 2, 0, 2} and f, g : A rarr B, be f...

    Text Solution

    |

  4. Let A = {1, 2, 3} Then number of relations containing (1, 2) and (1, 3...

    Text Solution

    |

  5. Let A = {1, 2, 3} Then number of equivalence relations containing (1,...

    Text Solution

    |

  6. Let f : R to R be the signum function defined as f(x) = {{:(1, x gt 0...

    Text Solution

    |

  7. Number of binary operations on theset (a,b) is

    Text Solution

    |

  8. Fill in the blank: The number of relations that can be defined from ...

    Text Solution

    |

  9. Let the relation R be defined in N by aRb if 2 a + 3 b = 30. Then R = ...

    Text Solution

    |

  10. Fill in the blank: Consider the set A = (0,1,2) and let R = (0,1), (...

    Text Solution

    |

  11. Let the relation R be defined on the set A={1,2, 3,4,5}" by "R={(a, ...

    Text Solution

    |

  12. Fill in the blank: The identity relation on any non-empty set is alw...

    Text Solution

    |

  13. Fill in the blank: Let f = (1,2), (3,5), (4,1) and g = (2,3), (5,1),...

    Text Solution

    |

  14. Fill in the blank: If f (X) = 4-(x-7)^3, then f^-1 (x) =

    Text Solution

    |

  15. Fill in the blank: If f = (a,c), (b,d) and g = (c, a), (d,b) then ra...

    Text Solution

    |

  16. Fill in the blank: Let f : R rarr R be defined by f(x) = (x)/(sqrt(1...

    Text Solution

    |

  17. Fill in the blank: Let f : R rarr R be defined by f(x) = (1)/(2 + c...

    Text Solution

    |

  18. Fill in the blank: Let * be a binary operation defined on Z as a * b...

    Text Solution

    |

  19. Consider the set A = {1, 2, 3} and R be the smallest equivalence relat...

    Text Solution

    |

  20. Fill in the blank: The domain of the function f : R rarr R defined b...

    Text Solution

    |