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

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 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 and g be two real values functions defined by f ( x ) = x + 1 and g ( x ) = 2 x − 3 . Find 1) f + g , 2) f − g , 3) f / g

A function g(x) is defined g(x)=2f(x^2/2)+f(6-x^2),AA x in R such f''(x)> 0, AA x in R , then m g(x) has

Let f:[-1/2,2] rarr R and g:[-1/2,2] rarr R be functions defined by f(x)=[x^2-3] and g(x)=|x|f(x)+|4x-7|f(x) , where [y] denotes the greatest integer less than or equal to y for yinR . Then,

Let f:[-1/2,2] rarr R and g:[-1/2,2] rarr R be functions defined by f(x)=[x^2-3] and g(x)=|x|f(x)+|4x-7|f(x) , where [y] denotes the greatest integer less than or equal to y for yinR . Then,

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

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Solution set of |x^2-4|lt=5-|x^2-9| is [-3,3] (2) [-3,-2]uu[2,3] [...

    Text Solution

    |

  2. let A ={{:({:(a(11),a(12)),(a(21),a(22)):}):a(ij){0,1,2} and a(11)=a(2...

    Text Solution

    |

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

    Text Solution

    |

  4. For the system of equitions: x+2y+3z=1 2x+y+3z=2 5x+5y+9z=4 there i...

    Text Solution

    |

  5. A conic passes through the point (2, 4) and is such that the segment o...

    Text Solution

    |

  6. If =lt=xlt=2pi, then the number of solutions of 3(sinx+cosx)-(sin^3x+c...

    Text Solution

    |

  7. If I1=int0^(3pi) (cos^2x) dx and I2 =int0^pi (cos^2x) dx then (a) I1=...

    Text Solution

    |

  8. If (3sqrt3 + 5)^7 = P + F where P is an integer and F is a proper frac...

    Text Solution

    |

  9. A relation R on set of complex numbers defined by Z(1)RZ(2) hArr (Z(1)...

    Text Solution

    |

  10. The roots of the equation cot x-cosx=1-cot xcos x are (1) npi+pi/4,n i...

    Text Solution

    |

  11. The degree of the differential equation((d^2y)/(dx^2))^3+((dy)/(dx))^...

    Text Solution

    |

  12. The equation of one of the curves whose slope of tangent at any point ...

    Text Solution

    |

  13. The number of tangents drawn from point (-5,3) to the hyperbola (x^2)/...

    Text Solution

    |

  14. If x^(2)+ax+10=0and x^(2)+bx-10=0 have common root, then a^(2)-b^(2) i...

    Text Solution

    |

  15. Let F(x)=int(sinx)^(cosx)e^((1+sin^(-1)(t))^(2))dt on [0,(pi)/(2)], th...

    Text Solution

    |

  16. Find the angle of intersection of the curves y=4-x^(2) and y=x^(2)

    Text Solution

    |

  17. Let f and g be two real values functions defined by f(x)= x + 1 and ...

    Text Solution

    |

  18. A bag contains 10 balls of which some are black and others are whit...

    Text Solution

    |

  19. If 2a^2 - 7ab -ac +3b^2-2bc-c^2=0 then the family of lines ax + by + c...

    Text Solution

    |

  20. Two small squares on a chess board are chosen at random. Then, the pro...

    Text Solution

    |