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a. Create a simplified function that represents the sum of an unknown positive number x and its reciprocal.?
b. For what whole number is the sum of the number and its reciprocal the smallest? In your solution, you may want to include a graph the function.
1 Answer
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- az_lenderLv 75 years ago
(a) y = x + 1/x.
(b) 1. Obviously 1 + 1/1 < 2 + 1/2,
and if x > 2, 1 + 1/1 < x < x + 1/x.
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