Home
Class 12
MATHS
Consider f: {1,2,3} to {a,b,c} given by...

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.`

Text Solution

Verified by Experts

The correct Answer is:
`f ^(-1) `given by `f ^(-1) (a) = 1, f ^(-1) (b) =2 and f ^(-1) (c ) =3.`
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    NCERT BANGLISH|Exercise EXERCISE 1.4|13 Videos

  • RELATIONS AND FUNCTIONS

    NCERT BANGLISH|Exercise MISCLELLANEOUS EXERCISE ON CHAPTER 1|19 Videos

  • RELATIONS AND FUNCTIONS

    NCERT BANGLISH|Exercise EXERCISE 1.2|12 Videos

  • PROBABILITY

    NCERT BANGLISH|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 13|19 Videos

  • VECTOR ALGEBRA

    NCERT BANGLISH|Exercise Miscellaneous Exercise on chapter 10|19 Videos

Similar Questions

Explore conceptually related problems

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 .

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

If F(x)=x+|x-1|, find F(3) and F(-3).

Let A ={a,b,c, d,e} and f: A rarr A be defined by f(a)=d, f (b) =a,f(c) =d, f(d) =b and f(e)=d find (i) f^(-1)(b) (ii) f^(-1) (e) (iii) f^(-1) (d) and (iv) f^(-1) {a,b} .

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

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)).

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

Let A={a,b,c,d} and f: A rarr A be defined by, f(a)=d, f(b)=a, f(c)=b and f(d)=c . State which of the following is equal to f^(-1)(b) ?