https://file.aiquickdraw.com/mathbot/file/1725501838107fsetzap2.jpg

Use the graphs of the functions 
y = f(x)
 and 
y = g(x)
 to evaluate the combined functions.

(f/g)(2)

To evaluate \(\left(\frac{f}{g}\right)(2)\), we need to use the graphs of the functions \( f(x) \) and \( g(x) \) to find their values at \( x = 2 \), and then compute the quotient \(\frac{f(2)}{g(2)}\).

From the graph:

- The blue line represents \( f(x) \). At \( x = 2 \), it looks like \( f(2) = 4 \).
- The red line represents \( g(x) \). At \( x = 2 \), it appears that \( g(2) = -2 \).

Now, we can calculate the quotient:

\[
\left(\frac{f}{g}\right)(2) = \frac{f(2)}{g(2)} = \frac{4}{-2} = -2
\]

Thus, \(\left(\frac{f}{g}\right)(2) = -2\).

Would you like further details, or do you have any other questions? Here are a few related questions you may find helpful:

1. How do you calculate \( (f + g)(x) \) from graphs of functions?
2. What are the properties of linear functions like \( f(x) \) and \( g(x) \)?
3. How can you find the x- and y-intercepts from a linear graph?
4. What is the significance of the point where \( f(x) \) and \( g(x) \) intersect?
5. How can you determine the slope of a line from a graph?

**Tip**: When dealing with linear functions, pay close attention to the slopes and intercepts, as they provide essential information for determining the behavior of the function.

Use the graphs of the functions y = f(x) and y = g(x) to evaluate the combined functions (f/g)(2).

Learn how to evaluate combined functions using graphs by finding (f/g)(2) for functions f(x) and g(x). This example demonstrates how to read values from graphs and compute the quotient of two linear functions. Suitable for students in Grades 8-10.

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