1993 AMC 12 Problem 26
Attempt Problem 26 of the 1993 AMC 12 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1993 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
26.
Find the largest positive value attained by the function a real number.
Answer: C
Small hint:
Factor both radicands using the common factor
Big hint:
On the domain rationalize
Solution:
Both radicals are real exactly when Factoring and rationalizing, On this interval the numerator decreases while the denominator increases, so the maximum occurs at Its value is Thus the correct answer is C.
Problem 26 in other years
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