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Algebra Difficulty 4.0 AIME Find the answer China
Suppose f(x) is an odd function with domain R. If f(1)=2, f(2)=3, then the value of f(f(−1)) is ______.
A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.
Solution
By the given conditions we have f(−1)=−f(1)=−2. Therefore,
f(f(−1))=f(−2)=−f(2)=−3.
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