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Consider the following function. f(x) = 16 - (x²)/3. Find f(-64) and f(64).

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Final answer:

To find the values of f(-64) and f(64), substitute the given values into the function f(x) = 16 - (x²)/3. For f(-64), we get -1349.33 and for f(64), we also get -1349.33.

Step-by-step explanation:

To find the values of f(-64) and f(64), we need to substitute the given values into the function f(x) = 16 - (x²)/3.

For f(-64), we substitute -64 for x:
f(-64) = 16 - ((-64)²)/3 = 16 - 4096/3 = 16 - 1365.33 = -1349.33

For f(64), we substitute 64 for x:
f(64) = 16 - ((64)²)/3 = 16 - 4096/3 = 16 - 1365.33 = -1349.33

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