Home
Class 12
MATHS
Let A" "=" "{-1," "0," "1," "2} , B" "="...

Let `A" "=" "{-1," "0," "1," "2}` , `B" "=" "{-4," "-2," "0," "2}` and `f,g:" "A" "->" "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. (Hint: One may note that two functio

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Exercise|10 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Revision Exercise|18 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise NCERT - FILE (Question from NCERT Book) (Exercise 1.4)|13 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise MOCK TEST SECTION D|6 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|11 Videos

Similar Questions

Explore conceptually related problems

Let A" "=" "{-1," "0," "1," "2} , B" "=" "{-4," "-2," "0," "2} and f,g:" "A" "->" "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

Let f: R->R , g: R->R be two functions defined by f(x)=x^2+x+1 and g(x)=1-x^2 . Write fog\ (-2) .

Let f and g be two real values functions defined by f(x)=x+1 and g(x)=2x-3 Find 1)f+g,2 ) f-g,3 ) (f)/(g)

If the functions of f and g are defined by f(x)=3x-4 and g(x)=2+3x then g^(-1)(f^(-1)(5))

Let f(x) and g(x) be two functions given by f(x)=-1|x-1|,-1 le x le 3 and g(x)=2-|x+1|,-2 le x le 2 Then,

Let f be a function defined on [0,2]. Then find the domain of function g(x)=f(9x^(2)-1)

If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x then find the following functions: 2f^2+sqrt2 g

If the function f(x) = 2+x^2-e^x and g(x) = f^(-1)(x) , then the value of |g^'(1)|/4 equals

If two real functions f and g such that f(x)=x^(2) and g(x)=[x] , then the value of f(-2)+g(-1/2) is

MODERN PUBLICATION-RELATIONS AND FUNCTIONS-Misellaneous Exercise on Chapter (1)
  1. Let f: R ->Rbe defined as f(x) = 10 x + 7. Find the function g: R ->R...

    Text Solution

    |

  2. Let f: W ->Wbe defined as f(n) = n - 1, if is odd and f(n) = n + 1, i...

    Text Solution

    |

  3. If f: R ->Ris defined by f(x) = x^2- 3x + 2, find f(f(x)).

    Text Solution

    |

  4. Show that function f: R ->{x in R : -1 < x < 1}defined by f(x)=x/(1+...

    Text Solution

    |

  5. Show that the function f: R->Rgiven by f(x)=x^3is injective.

    Text Solution

    |

  6. Give examples of two functions f:" "N->Z" "a n dg:" "Z->Z such that o...

    Text Solution

    |

  7. Given examples of two functions f:" "N ->N" "a n d""""""g:" "N->N such...

    Text Solution

    |

  8. Given a non-empty set X , consider P\ (X) which is the set of all subj...

    Text Solution

    |

  9. Given a non-empty set X, consider the binary operation *: P(X)xx P(X)...

    Text Solution

    |

  10. Find the number of all onto functions from the set A={1,\ 2,\ 3,\ ...

    Text Solution

    |

  11. Let S = {a , b , c} a n d T = {1, 2, 3}. Find F^(-1)of the following ...

    Text Solution

    |

  12. Consider the binary operations *:" "RxxR ->R and o:" "R" "xx" "R->R de...

    Text Solution

    |

  13. Given a non -empty set X, let *:" "P(X)" "xx" "P(X) ->P(X) be defined ...

    Text Solution

    |

  14. Define a binary operation *on the set {0," "1," "2," "3," "4," "5} as ...

    Text Solution

    |

  15. Let A" "=" "{-1," "0," "1," "2} , B" "=" "{-4," "-2," "0," "2} and f,g...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Let f: R->Rbe the Signum Function defined as f(x)={1,x >0 0,x=0-1,x<1 ...

    Text Solution

    |

  19. समुच्चय {a,b} में द्विआधारी संक्रियाओं की संख्या है :

    Text Solution

    |