Find the maximum value of
\[f(x) = \sqrt{8x - x^2} - \sqrt{14x - x^2 - 48}.\]
Question:
Find the maximum value of
\[f(x) = \sqrt{8x - x^2} - \sqrt{14x - x^2 - 48}.\]
Answer:
Let's think step by step.

user
2 \sqrt{3}
Find the maximum value of
\[f(x) = \sqrt{8x - x^2} - \sqrt{14x - x^2 - 48}.\]
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