Question

Let s={(1,3),(4,5),(5,6),(6,0)} and g={(2,4),(3,6),(5,1)} then f(g(3))=___

Answer 1

To solve for \( f(g(3)) \), we first need to find \( g(3) \) using the set \( g \).

The set \( g = \{(2,4), (3,6), (5,1)\} \) contains pairs of values. We can see that:

- \( g(3) = 6 \)

Now, we need to find \( f(6) \) using the set \( s \).

The set \( s = \{(1,3), (4,5), (5,6), (6,0)\} \) again contains pairs. We look for the pair where the first element is \( 6 \):

- \( s(6) = 0 \)

Thus, \( f(g(3)) = f(6) = 0 \).

The final answer is:

\[
\boxed{0}
\]