To solve $(g \circ f)(1)$, we need to follow these steps:

1. Understanding the notation: The notation $(g \circ f)(1)$ means we need to first apply the function $f(x)$ to the input $1$, and then apply the function $g(x)$ to the result of $f(1)$.

2. Step 1: Finding $f(1)$:

   • From the graph of $f(x)$, we observe the value of $f(1)$.
   • Looking at the graph, when $x = 1$, $f(x) = 3$.
   • So, $f(1) = 3$.

3. Step 2: Finding $g(f(1)) = g(3)$:

   • Now, we need to find $g(3)$ by looking at the graph of $g(x)$.
   • From the graph of $g(x)$, when $x = 3$, $g(x) = 1$.
   • So, $g(3) = 1$.

4. Final result: $(g \circ f)(1) = g(f(1)) = g(3) = 1$.

Thus, $(g \circ f)(1) = 1$.

Would you like a more detailed explanation or have any additional questions?

Here are 5 related questions for practice:

1. What is the value of $f(2)$?
2. What is the value of $g(2)$?
3. Calculate $(f \circ g)(1)$.
4. Find $(g \circ f)(2)$.
5. What is the domain of $f(x)$ based on the graph?

Tip: When evaluating composite functions like $(g \circ f)(x)$, always start from the innermost function and work outward.