1963 AMC 12 Problem 30
Attempt Problem 30 of the 1963 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 1963 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
30.
Let
Form a new function by replacing each in by
and simplify. The simplified expression is equal to:
Answer: C
Small hint:
Call the substituted fraction and simplify
Big hint:
Its numerator and denominator factor as cubes
Solution:
For Therefore so
Thus, the correct answer is C.
Problem 30 in other years
- 1950 AMC 12
- 1951 AMC 12
- 1952 AMC 12
- 1953 AMC 12
- 1954 AMC 12
- 1955 AMC 12
- 1956 AMC 12
- 1957 AMC 12
- 1958 AMC 12
- 1959 AMC 12
- 1960 AMC 12
- 1961 AMC 12
- 1962 AMC 12
- 1964 AMC 12
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