The cube root of \(x - 4\) can be expressed mathematically as:

\[
\sqrt[3]{x - 4}
\]

This represents the value that, when cubed, will give \(x - 4\). In other words, if:

\[
y = \sqrt[3]{x - 4},
\]

then:

\[
y^3 = x - 4.
\]

Is there a specific context or operation you'd like to explore with this expression, such as solving for \(x\) or simplifying it further?

Would you like more details or have any questions?

Here are 5 related questions:
1. How would you solve \(\sqrt[3]{x - 4} = 2\) for \(x\)?
2. What is the domain of \(\sqrt[3]{x - 4}\)?
3. How do you differentiate \(\sqrt[3]{x - 4}\)?
4. What is the inverse function of \(\sqrt[3]{x - 4}\)?
5. How would \(\sqrt[3]{x - 4}\) behave as \(x\) approaches infinity?

**Tip:** The cube root function can handle negative values of \(x - 4\) since cube roots of negative numbers are real.

Explore the concept of the cube root of x - 4. Learn how to express it mathematically, understand its properties, and solve related equations. This topic covers essential algebraic concepts, including cube roots and real numbers, suitable for students in Grades 9-12.

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