Questions: Find the indicated values for the function f(x) = sqrt(2x-10). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. f(10) = (Round to the nearest hundredth as needed.) B. The function value is not a real number.

Solution Steps

To solve for the indicated values of the function \( f(x) = \sqrt{2x - 10} \):

1. Substitute the given value of \( x \) into the function.
2. Calculate the expression inside the square root.
3. Take the square root of the result.
4. Round the final answer to the nearest hundredth if necessary.

To find \( f(10) \), we substitute \( x = 10 \) into the function \( f(x) = \sqrt{2x - 10} \):

\[ f(10) = \sqrt{2(10) - 10} \]

Now, we simplify the expression inside the square root:

\[ f(10) = \sqrt{20 - 10} = \sqrt{10} \]

Next, we calculate the numerical value of \( \sqrt{10} \):

\[ \sqrt{10} \approx 3.1623 \]

Rounding this to the nearest hundredth gives us:

\[ \sqrt{10} \approx 3.16 \]

Final Answer