Home
Class 12
MATHS
Consider f : (1,2,3) rarr {a,b,c) given ...

Consider f : (1,2,3) `rarr` {a,b,c) given by f(1) = a, f(2)=b, f(3) = c . Find `f^(-1)` . Show that `(f^(-1))^(-1)` = f.

Text Solution

Verified by Experts

The correct Answer is:
`f^(-1)={(a,1), (b,2), (c,3)}`
Promotional Banner

Topper's Solved these Questions

  • VERY SIMILAR TEST 7

    ARIHANT PRAKASHAN|Exercise Section B (60 MARKS)|50 Videos

  • VERY SIMILAR TEST 7

    ARIHANT PRAKASHAN|Exercise Section C (30 MARKS)|32 Videos

  • VERY SIMILAR TEST 6

    ARIHANT PRAKASHAN|Exercise SECTION C ANSWER ANY ONE QUESTIONS|11 Videos

  • VERY SIMILAR TEST 8

    ARIHANT PRAKASHAN|Exercise Section C|25 Videos

Similar Questions

Explore conceptually related problems

Let f be an invertible function . Then prove that (f^(-1))^(-1) = f.

If (fog) (1)=3, g(1) = 2, g(1) = 1,then show that f(2)=3.

If F : R rarr R is given by f(x) = (3-x^(3))^(1//3) then find ( fof ) x .

Consider f:R_(+) to [-5, oo) given by f(x)=9x^(2)+6x-5 . Show that f is invertible with f^(-1)(y)= ((sqrt(y+6)-1)/(3)) . Hence. Find (i) f^(-1)(10)" " (ii) y" if "f^(-1)(y)=(4)/(3) where R_(+) is the set of all non-negative real numbers.

Let f:Rto(-1,1) be defined by f(x)=x/(1+x^2),x in R . Find f^(-1) if exists.

ARIHANT PRAKASHAN-VERY SIMILAR TEST 7-Section C (30 MARKS)
  1. Consider f : (1,2,3) rarr {a,b,c) given by f(1) = a, f(2)=b, f(3) = c ...

    Text Solution

    |

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

    Text Solution

    |

  3. Show that the semi-vertical angle of right circular cone of given surf...

    Text Solution

    |

  4. Find the area of the region bounded by the ellipse (x^(2))/(25)+(y^(2)...

    Text Solution

    |

  5. Find the solutions of the following differential equations : x sin "...

    Text Solution

    |

  6. int("cos"x-"sin"x)/sqrt(8-"sin"2x)dx

    Text Solution

    |

  7. Find the distance of the point (1, -2, 3) from the plane x-y+z=5 measu...

    Text Solution

    |

  8. Find the points on the line (x+2)/(3) = (y+1)/(2) = (z-3)/(2)  at a d...

    Text Solution

    |

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

    Text Solution

    |

  10. Solve the following LPP graphically Maximize, Z=5x(1) +3x(2) Sub...

    Text Solution

    |

  11. Show that the operation * given by x*y=x+y+ -xy is a binary oeration o...

    Text Solution

    |

  12. Examining consistency and solvability, solve the following equation by...

    Text Solution

    |

  13. From a survey conducted in a cancer hospital it is found that 10% of t...

    Text Solution

    |

  14. From a survey conducted in a cancer hospital it is found that 10% of t...

    Text Solution

    |

  15. From a survey conducted in a cancer hospital it is found that 10% of t...

    Text Solution

    |

  16. From a survey conducted in a cancer hospital it is found that 10% of t...

    Text Solution

    |

  17. Find the inverse of matix A=[(1,2,4),(-1,-2,-1),(2,1,-1)] by elementar...

    Text Solution

    |

  18. If cos y = x cos(a+y) then prove that dy/dx = (cos^2(a+y))/sin a

    Text Solution

    |

  19. Show that the semi-vertical angle of right circular cone of given surf...

    Text Solution

    |

  20. Find the area of the portion of the ellipse (x^(2))/(12)+(y^(2))/(16)=...

    Text Solution

    |

  21. Find the solutions of the following differential equations : x sin "...

    Text Solution

    |