It looks like you've uploaded an image. Let me analyze it and extract the relevant mathematical content for solving. I'll take a look now. PIL import Image

Open and display the uploaded image to assess its contents

img_path = "/mnt/data/1733528135441u4baf8my.jpg" img = Image.open(img_path) img.show()I have displayed the image. Let me now attempt to extract the text or mathematical content from the image so I can assist you with solving it. pytesseract

Use pytesseract to extract text from the image

text = pytesseract.image_to_string(img) textThe image contains a problem that involves evaluating the composition of functions. Specifically, you are given the following:

• $f(x) = 3x + 3$
• $g(x) = 5x^2 - 1$

The task is to evaluate $(f \circ g)(2)$, which represents the composition of the functions $f$ and $g$ evaluated at $x = 2$.

To solve this:

1. First, evaluate $g(2)$: $g(x) = 5x^2 - 1$ Substituting $x = 2$: $g(2) = 5(2)^2 - 1 = 5(4) - 1 = 20 - 1 = 19$

2. Next, evaluate $f(g(2))$, which is the same as $f(19)$: $f(x) = 3x + 3$ Substituting $x = 19$: $f(19) = 3(19) + 3 = 57 + 3 = 60$

Thus, the value of $(f \circ g)(2)$ is 60.

Would you like further clarification on any part of the solution? Here are some related questions to deepen your understanding:

1. How do compositions of functions differ from simple addition or subtraction of functions?
2. What is the general process for finding $(f \circ g)(x)$ for any functions $f(x)$ and $g(x)$?
3. Can we apply the same approach to compositions involving more complex functions, like trigonometric or exponential functions?
4. How do you approach solving compositions in cases where one function involves a higher degree (e.g., $g(x) = x^3$)?
5. What is the significance of function composition in real-world applications, such as physics or economics?

Tip: When working with function compositions, always remember to evaluate the inner function first and then use that value in the outer function.