To solve $r(g(h(1)))$:

1. Start with $h(1)$: Based on $h(x)$, when $x = 1$, $h(1) = 3$.
2. Move to $g(3)$: From the graph, find $g(3)$. It appears $g(3) = 6$ (use the line's points).
3. Finally, evaluate $r(6)$: From the table, when $x = 6$, $r(6) = 5$.

Thus, $r(g(h(1))) = 5$.

Do you want further clarification?
Here are some follow-up questions:

1. How do piecewise functions relate to this problem?
2. What is the role of substitution in function compositions?
3. How do you extract values from a table versus a graph?
4. Why is order of operations critical in function evaluation?
5. Can you generalize this problem to any $r, g, h$?

Tip: Always double-check mappings in graphs and tables!