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