Prove that is even if and only if is even and that is odd if and only if is odd.

MATHEMATICS · Subjective · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

69. Prove that g(x)=1/f(x)g(x)=1 / f(x) is even if and only if f(x)f(x) is even and that g(x)=1/f(x)g(x)=1 / f(x) is odd if and only if f(x)f(x) is odd.

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