It seems like you might be describing a function involving the 7th root. Based on your expression, I'll assume you're defining a function \( f(x) \) as follows:

\[
f(x) = \sqrt[7]{8x + 5}
\]

This means that \( f(x) \) is the 7th root of the expression \( 8x + 5 \).

### Do you want details on:

- How to compute specific values of \( f(x) \)?
- The domain of the function?
- Its derivative or integral?

Let me know how you'd like to proceed, and feel free to ask any clarifications!

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Here are 5 related questions:
1. What is the domain of the function \( f(x) = \sqrt[7]{8x + 5} \)?
2. How would you compute the value of \( f(2) \)?
3. Can you find the derivative of \( f(x) = \sqrt[7]{8x + 5} \)?
4. How does the 7th root affect the graph of the function compared to a square root?
5. What is the inverse function of \( f(x) = \sqrt[7]{8x + 5} \)?

**Tip:** When dealing with roots, remember that odd roots, such as the 7th root, are defined for both positive and negative numbers.

Explore the function f(x) = ∛[8x + 5], its properties, and applications. Learn how to compute specific values, determine the domain, and understand the impact of the seventh root on function graphs. Suitable for advanced high school students.

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