To evaluate $f(h(1))$, we need to follow these steps:

1. Find $h(1)$:

   • Using the graph of $h(x)$ in Figure 2, locate $x = 1$.
   • From the graph, $h(1) = -2$.

2. Evaluate $f(h(1)) = f(-2)$:

   • Now, using the graph of $f(x)$ in Figure 1, locate $x = -2$.
   • From the graph, $f(-2) = 4$.

Thus, the answer is: $f(h(1)) = 4$

Would you like further details or have any questions?

Here are five additional questions related to this concept:

1. How would you evaluate $f(h(-1))$ using the same graphs?
2. What is the value of $h(f(0))$ based on these graphs?
3. Can you describe the behavior of $f(x)$ as $x$ increases?
4. What are the domain and range of the function $h(x)$?
5. How would you determine if $f(x)$ and $h(x)$ are even or odd functions?

Tip: When evaluating composite functions, always work from the inside out: find the inner function's output first, then use that result in the outer function.