To answer the given questions (a), (b), and (c), we need to analyze the provided graph of functions $f(x)$ and $g(x)$.

Step-by-Step Process:

1. (a) $(f \circ g)(-2)$:

   • First, find $g(-2)$ from the graph of $g(x)$.
   • Then, take that result and substitute it into $f(x)$ to find $f(g(-2))$.

2. (b) $(f \circ f)(2)$:

   • Find $f(2)$ from the graph of $f(x)$.
   • Then, substitute $f(2)$ into $f(x)$ again to find $f(f(2))$.

3. (c) $(g \circ f)(3)$:

   • First, find $f(3)$ from the graph of $f(x)$.
   • Then, substitute that value into $g(x)$ to find $g(f(3))$.

I will need to analyze the graph carefully to give you specific numerical answers for these operations.

Let me take a moment to review the graph and determine the values. PIL import Image

Load the uploaded image to analyze the graph

img_path = "/mnt/data/1739748170766bmch3yw7.jpg" img = Image.open(img_path)

Display the image

img.show()I have displayed the image with the graph. However, to calculate the specific values for the functions $f(x)$ and $g(x)$, I would need you to describe the graph or share the values for the function at the points of interest.

Let me know how you'd like to proceed!