Composition of functions (in set)

[385sk117]

Homework Statement

A = {0, 1, 2, 3} f and g are functions mapping A to A where
f = {(0,1),(1,2),(2,0),(3,3)} and g = {(0,2),(1,3),(2,0),(3,1)}
find

(f o g)(1)

Homework Equations

The Attempt at a Solution

The answer is 3 but i can not get it..
the (1) on the right side means find the y value whem x = 1
I think my (f o g) thing is not correct but i don't know how to do this..
book just gave me an example but that is totally different from this one.

 

[Cyosis]

You know that (f \circ g)(x)=f(g(x))?. Can you tell us what value g(1) has?

 

[385sk117]

g(1) would be 3 as g has point (1,3)

 

[385sk117]

Ohh i got it.
g(1) is 3 and as f has point (3,3) the answer is 3
thanks!

 

[Cyosis]

Yep that is correct. Now what is the value of f(3)?

Edit: Seems you beat me to it! Yes that's all correct.