Home
Class 12
MATHS
Prove that for any f:X rarr Y , f o idx ...

Prove that for any `f:X rarr Y , f o id_x = f =id_Y` of.

Promotional Banner

Topper's Solved these Questions

  • CHSE ODISHA EXAMINATION PAPER 2020

    ARIHANT PUBLICATION|Exercise GROUP C (ANSWER ANY ONE QUESTIONS)|11 Videos

  • CHSE ODISHA EXAMINATION PAPER 2020

    ARIHANT PUBLICATION|Exercise GROUP C (ANSWER ANY ONE QUESTIONS)|11 Videos

  • CHSE ODISHA EXAMINATION PAPER 2019

    ARIHANT PUBLICATION|Exercise Group C (30 Marks) |13 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (4 MARK)|47 Videos

Similar Questions

Explore conceptually related problems

Prove that f:X rarr Y is surjective iff for all B sube Y, f(f^(-1)(B)) =B.

Prove that f:X rarr Y is injective iff f^(-1) (f(A)) = "A for all" A sube X .

Determine whether the function f:X rarr Y defined by f(x) = 4x + 7, x in X is one-one.

Prove that f: X rarr Y is surjective iff for all A sube X,(f(A))' sube f(A') , where A' denotes the complement of A in X.

Let f:XrarrY . If there exists a map g:YrarrX such that g of= id_x and fo g= id_y then show that g=f^(-1)

Prove that f:X rarr Y is injective iff for all subsets A,B of X,f(A nn B ) = f(A) nn f(B) .

Show that the function f : R rarr R defined as f(x) = x^(2) is neither one-one nor onto.

Show that the function f: R rarr R , f(x)= x^(4) is many-one and into.

State whether the function f : R rarr R, defined by f(x) = 3 - 4x is onto or not.

ARIHANT PUBLICATION-CHSE ODISHA EXAMINATION PAPER 2020 -GROUP B (ANSWER ANY THREE QUESTIONS)
  1. A man plans to start a poultry farm by investing at most ₹ 3000. He ca...

    Text Solution

    |

  2. Test whether the relation : R = {(m, n):2|(m+n)} on ZZ is reflexive, ...

    Text Solution

    |

  3. Prove that for any f:X rarr Y , f o idx = f =idY of.

    Text Solution

    |

  4. Solve equation 3"tan"^(-1)1/((2+sqrt3)) - "tan"^(-1) 1/x ="tan"^(-1) 1...

    Text Solution

    |

  5. Prove that tan{(pi)/(4)+(1)/(2) "cos"^(-1)(a)/(b)}+tan{(pi)/(4)-(1)/(2...

    Text Solution

    |

  6. Four cards are drawn successively with replacement from a well shuffle...

    Text Solution

    |

  7. Find the inverse of the matrix [{:(4,-2),(3,1):}]

    Text Solution

    |

  8. There are two families A and B. There are 4 men, 6 women and 2 childre...

    Text Solution

    |

  9. Eliminate x,y,z from a=x/y-z, b=y/z-x, c=z/x-y

    Text Solution

    |

  10. There are 25 girls and 15 boys in class XI and 30 boys and 20 girls in...

    Text Solution

    |

  11. Show that the tangent to the curve x = a (t - sin t), y = at (1 + cos ...

    Text Solution

    |

  12. Examine the continuity of the following function at x = 0 :f(x)={(2x+1...

    Text Solution

    |

  13. If sin (x + y) = y cos (x + y) then prove that dy/dx =-(1 + y^2)/y^2

    Text Solution

    |

  14. What is the derivative of sec^(-1)(1/(2x^2-1)),with respect to(sqrt(1...

    Text Solution

    |

  15. Find the approximate value of sqrt(48.96)

    Text Solution

    |

  16. Solve : In((dy)/(dx)) = 3x+4y given that y=0, when x=0.

    Text Solution

    |

  17. Evaluate the following integrals int(3sinx+28cosx)/(5sinx+6cosx)dx

    Text Solution

    |

  18. Evaluate the following integrals : int(0)^(pi//2)log|(4+3sinx)/(4+3c...

    Text Solution

    |

  19. The area between x=y^(2) and x=4 is divided into two equal parts by th...

    Text Solution

    |

  20. Solve: xdy/dx+y=y^2ln x

    Text Solution

    |