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Given the function \( f(x) = 2x^2 + 5\sqrt{x - 2} \), substituting \( x = 3 \) yields:

\[
f(3) = 23
\]

Would you like further clarification or have any questions? Here are five related questions to consider:

1. What would the value of \( f(4) \) be using the same function?
2. How would the function change if \( f(x) = 3x^2 + 4\sqrt{x - 2} \)?
3. How can you determine the domain of the given function?
4. What happens to the function when \( x < 2 \)?
5. How does the square root function affect the overall shape of the graph?

**Tip:** When working with functions involving square roots, always ensure the expression inside the square root is non-negative to determine the domain correctly.

If f(x) = 2x^2 + 5√(x - 2), complete the following statement: f(3) = _____

Learn how to evaluate the function f(x) = 2x^2 + 5√(x - 2) by substituting x = 3. This example covers key algebraic concepts such as functions, square roots, and substitution, suitable for students in Grades 9-11.

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