To determine whether the inverse of a function is also a function, we can use the horizontal line test:

• A function has an inverse that is also a function if no horizontal line intersects the graph of the original function more than once.
• If a horizontal line crosses the graph more than once, the inverse will not be a function because this implies that the original function takes the same output for different inputs.

How to apply the horizontal line test:

1. Draw or imagine a horizontal line at any point across the graph.
2. Check if the line touches the graph more than once.
   • If it does, then the inverse is not a function.
   • If it only touches once everywhere, then the inverse is a function.

Feel free to upload the graph images if you'd like me to directly evaluate them for you. Otherwise, based on the description of the graph (if provided), I can help determine if the inverse is a function.

Let me know if you'd like more details or clarifications.

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Here are 5 related questions to explore:

1. What is the difference between the vertical and horizontal line tests?
2. How do you find the inverse of a given function algebraically?
3. What is a one-to-one function, and why is it important for inverses?
4. How can we determine the inverse of a quadratic function?
5. What is the role of symmetry in determining if a function's inverse is also a function?

Tip: Always check the domain and range of the function before determining the inverse, as it may affect the validity of the inverse.