Question: Find the indicated values for the function $f(x) = \sqrt{5x - 25}$. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $f(9) = [ ]$ (Round to the nearest hundredth as needed.) B. The function value is not a real number.
1. **State the problem:** We need to find the value of the function $f(x) = \sqrt{5x - 25}$ at $x = 9$.
2. **Recall the formula:** The function is defined as $f(x) = \sqrt{5x - 25}$. The square root function requires the radicand (expression inside the root) to be non-negative for the function to have real values.
3. **Evaluate the radicand at $x=9$:**
$$5(9) - 25 = 45 - 25 = 20$$
4. **Check if the radicand is non-negative:** Since $20 \geq 0$, the function value is real.
5. **Calculate the function value:**
$$f(9) = \sqrt{20} = \sqrt{4 \times 5} = 2\sqrt{5} \approx 4.4721$$
6. **Round to the nearest hundredth:**
$$f(9) \approx 4.47$$
**Final answer:** $f(9) = 4.47$