Determine the values of $x$ for which the function $f$ is decreasing, where $f(x) = (1200 - x)^2 + x^2$. (Enter your answer in interval notation. If you need to enter, $\infty$, type INF.) Use your answer to determine which is bigger: $420^2 + 780^2$ or $540^2 + 660^2$.
Added by Ernest C.
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Step 1: To determine when the function f is decreasing, we need to find the values of x for which the derivative of f is negative. Show more…
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