Question: Evaluate the following function for the given x-value. Enter your answer below and round to two decimal places if necessary.
$f(x) = \frac{x^2}{x - 4}$
$f(4) = ?$
1. **State the problem:** We need to evaluate the function $$f(x) = \frac{x^2}{x - 4}$$ at $$x = 4$$.
2. **Substitute the value:** Replace $$x$$ with $$4$$ in the function:
$$f(4) = \frac{4^2}{4 - 4}$$
3. **Calculate numerator and denominator:**
$$4^2 = 16$$
$$4 - 4 = 0$$
So,
$$f(4) = \frac{16}{0}$$
4. **Interpret the result:** Division by zero is undefined in mathematics.
Therefore, $$f(4)$$ is undefined.
**Final answer:** $$f(4)$$ is undefined.