Let's break down the questions using the graph in the image to evaluate the function $f(x)$.

1. Find $3f(-5)$:

   • Look at the graph to find $f(-5)$. It appears that the value of the function at $x = -5$ is $1$.
   • Now, multiply this by 3:
     $3f(-5) = 3 \times 1 = 3$

2. Find $f(-1 + 4)$:

   • Simplify $-1 + 4 = 3$, so we need to find $f(3)$.
   • Looking at the graph, $f(3)$ corresponds to $2$.
   • Thus, $f(-1 + 4) = 2$.

3. Find $f(f(-5))$:

   • We already found that $f(-5) = 1$.
   • Now, find $f(1)$ on the graph. It looks like $f(1) = 2$.
   • Therefore, $f(f(-5)) = f(1) = 2$.

The answers for the blanks should be:

1. $3$
2. $2$
3. $2$

Would you like more detailed explanations or have any questions? Here are 5 related questions to explore this concept further:

1. What is the value of $f(0)$ according to the graph?
2. How would you solve $f(2) + f(-5)$ using the graph?
3. What is the interpretation of $f(f(3))$?
4. How does the slope of the graph between $x = 1$ and $x = 3$ affect the function values?
5. Can you find $f(f(0))$ using the graph?

Tip: Always break down function compositions step-by-step to ensure accuracy.