https://file.aiquickdraw.com/mathbot/file/17254038582652f9o1qs0.jpg

The problem in the image asks you to find the difference quotient \(\frac{f(x+h) - f(x)}{h}\) and fully simplify your answer. 

To solve this problem, we'll follow these general steps:

1. **Substitute \(x + h\) into the function**: Compute \(f(x + h)\).
2. **Subtract the original function**: Find the expression for \(f(x + h) - f(x)\).
3. **Divide by \(h\)**: Simplify the expression \(\frac{f(x + h) - f(x)}{h}\).

To proceed with a specific solution, the function \(f(x)\) needs to be given. Since it's not included in the cropped image, can you provide the function \(f(x)\) so that I can fully solve this problem?

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If you'd like, I can help with the solution by providing example functions such as \(f(x) = x^2\) or any other function you have in mind.

Let me know if you'd like to proceed or if you have any specific function to work with.

Find the difference quotient \(\frac{f(x+h) - f(x)}{h}\) and fully simplify your answer.

Learn how to find and fully simplify the difference quotient \(\frac{f(x+h) - f(x)}{h}\) in calculus. This problem involves key concepts such as functions and the difference quotient formula, suitable for students in Grades 11-12.

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