https://r2.erweima.ai/mathbot/image/1725909638679e6yerib0.jpg

The image shows two functions:

\[
f(x) = 3x + 1
\]

and

\[
g(x) = \frac{x + 4}{2}
\]

Would you like to find the composition of these functions (e.g., \( f(g(x)) \) or \( g(f(x)) \)), solve for when they are equal \( f(x) = g(x) \), or explore other properties?

Let me know if you need details! Here are five related questions:
1. What is the value of \( f(g(x)) \)?
2. How can we solve for \( x \) when \( f(x) = g(x) \)?
3. What are the slopes and y-intercepts of \( f(x) \) and \( g(x) \)?
4. How do the graphs of \( f(x) \) and \( g(x) \) compare?
5. What is the inverse function of \( f(x) \) or \( g(x) \)?

**Tip:** When composing functions, substitute one function into the other carefully to ensure accuracy in calculations.

What is the composition of the functions f(x) = 3x + 1 and g(x) = (x + 4) / 2?

Explore how to compose the functions f(x) = 3x + 1 and g(x) = (x + 4)/2. This guide provides a detailed step-by-step approach to calculating f(g(x)) and g(f(x)), demonstrating fundamental concepts in function composition and algebra. Suitable for high school students learning advanced function operations.

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