How to answer this composite function question?

Question

Can any one answer this question please, I know it is a composite function but I don't understand this format at all.

$$A =\{ 1,2,3,4,5,6 \}$$

Compute $(4,1,3,5) \circ ( 5,6,2)$.

Answer 1

$(4,1,3,5)$ is a mapping that sends $4 \to 1; 1 \to 3; 3\to 5; 5\to 4$ and the rest, $2,6$ are left alone.

$(5,6,2)$ is a mapping that sends $5\to 6; 6\to 2; 2\to 5$.

$(4,1,3,5)\circ(5,6,2)$ is the composition function it is the result of first doing $(5,6,2)$ and then doing $(4,1,3,5)$ on the result.

So $5$ is sent to $6$ and then left alone. So $5\to 6$. $6$ is sent to $2$ and then left alone. So $6 \to 2$. $2$ is sent to $5$ which is then sent to $4$. So $2\to 4$. $4$ is first left alone and then $4$ is sent to $1$. So $4\to 1$. $1\to 1 \to 3$ so $ 1\to 3$. $3\to 3 \to 5$ so $3\to 5$. And $5\to 6$ is where we started from.

So we have $5\to 6; 6\to 2; 2\to 4;4\to 1; 1\to 3$ and $3\to 5$. So the result is:

$(5,6,2,4,1,3)$

So $(4,1,3,5)\circ(5,6,2)=(5,6,2,4,1,3)$