Home
Class 12
MATHS
Consider f" ":" "{1," "2," "3}->{a ," "b...

Consider `f" ":" "{1," "2," "3}->{a ," "b ," "c}` given by `f(1)" "=" "a` , `f(2)" "=" "b` and `f(3)" "=" "c` . Find `f^(-1)` and show that `(f^(-1))^(-1)=" "f` .

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|3 Videos
  • SCALER TRIPLE PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

Consider f: {1,2,3} to {a,b,c} given by f (1) =a , f (2) =b and f (3)=c. Find f ^(-1) and show that (f ^(-1)) ^(-1) =f.

If f(x) is a quadratic function and f(2) = 1, f(3) = 6 and f(-1) = 10, find f(x) and show that, f(1) = 0.

Given f(x) = 3x - 9 , find f(-1), f(3), f(x+h) and f(x^2-1).

If f(x)=3x^2-x+1 , then find f(-1)

If f(x)=(x-1)/(x+1), show that (f(a)-f(b))/(1+f(a)f(b))=(a-b)/(1+ab)

If f(x) = ax^(2) + bx + x and f(2) = 1, f(3) = 6, f(-1) = 10, then find the value of f'(1).

Let f:{1,2,3} to {a,b,c} be one-one and onto function given by f (1) =a, f (2) =b and f (3) =c. Show that there exists a function g : {a,b,c} to {1,2,3} such that gof =I _(x) and fog =I _(y), where, X = {1,2,3} and Y={a,b,c}.

If f(x)=x^2-3x+1 , then find f(1) .

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Find the domain and range of the function f(x)=(x^2)/(1+x^2) . Is the ...

    Text Solution

    |

  2. Let f(x) be real valued and differentiable function on R such that f(x...

    Text Solution

    |

  3. Consider f" ":" "{1," "2," "3}->{a ," "b ," "c} given by f(1)" "=" "a ...

    Text Solution

    |

  4. If the function f(x) ={x+1 if x le 1 , 2x+1 if 1 lt x le 2 and g(x) =...

    Text Solution

    |

  5. f(x)=sin[x]+[sin x],0 < x < pi/2 (where [.] represents the greatest in...

    Text Solution

    |

  6. If the function f:(1,oo)rarr(1,oo) is defined by f(x)=2^(x(x-1)),t h e...

    Text Solution

    |

  7. For non-negative integers ma n dn a function is defined as follows: f...

    Text Solution

    |

  8. If varphi(x)=1/(1+e^(-x)) and S=varphi(5)+varphi(4)+varphi(3)+...+varp...

    Text Solution

    |

  9. If f and g are two functions defined on N , such that f(n)= {{:(2n-...

    Text Solution

    |

  10. If g(x)=(4cos^4x-2cos2x-1/2cos4x-x^7)^(1/7) then the value of g(g(100)...

    Text Solution

    |

  11. Consider a differentiable function f:R->R for which f'(0)=ln2 and f(x...

    Text Solution

    |

  12. If f: R->R is a function satisfying f(x+y)=f(x y) for all x ,y in R a...

    Text Solution

    |

  13. Suppose that f(x)f(f(x))=1 and f(1000)=999 then which of the following...

    Text Solution

    |

  14. Suppose that f(x) isa quadratic expresson positive for all real xdot I...

    Text Solution

    |

  15. The graph of a function fx) which is defined in [-1, 4] is shown in th...

    Text Solution

    |

  16. If sets A= (-3,2] and B= (-1, 5] then find the following sets : AnnB

    Text Solution

    |

  17. Find the value of x^2 for the given values of xdot (i)x<2 (ii) x > -...

    Text Solution

    |

  18. Find all possible values of the following expressions : sqrt(x^(2)-...

    Text Solution

    |

  19. Find the value of 1//x for the given values of xdot x >3 (ii) x<-2 (i...

    Text Solution

    |

  20. Find all the possible values of the following expressions: 1/(x^2+2) (...

    Text Solution

    |