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I see that you have uploaded an image of a math worksheet. Let me extract the mathematical content from the image and analyze it for you.

Please hold on for a moment while I process the image.The image contains a math problem that involves finding the inverse of given functions and then graphing both the function and its inverse.

From what I can read:

1. The function provided is \( f(x) = \frac{1}{2}x + 5 \).
2. The task is to find the inverse of this function, denoted as \( f^{-1}(x) \), and then graph both the function and its inverse.

To find the inverse of the function:

1. Start by replacing \( f(x) \) with \( y \):
   \[
   y = \frac{1}{2}x + 5
   \]

2. Swap \( x \) and \( y \) to find the inverse:
   \[
   x = \frac{1}{2}y + 5
   \]

3. Solve for \( y \):
   \[
   x - 5 = \frac{1}{2}y
   \]
   \[
   y = 2(x - 5)
   \]
   \[
   y = 2x - 10
   \]

So, the inverse function is:
\[
f^{-1}(x) = 2x - 10
\]

### Graphing
The graph of the original function \( f(x) = \frac{1}{2}x + 5 \) is a straight line with a slope of \( \frac{1}{2} \) and a y-intercept of 5.

The

Find the inverse of each function. Then graph the function and its inverse.

This page explains how to find the inverse of the function f(x) = (1/2)x + 5 and graph both the original function and its inverse. The solution includes step-by-step details for swapping x and y, solving for the inverse function, and graphing the results. Suitable for students in Grades 9-11.

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