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Combining Functions
0. Functions / Combining Functions / Problem 6
Problem 6

Suppose m(x)m\(\left\)(x\(\right\)) is an even function and n(x)n(x) is an odd function, both defined for all real numbers. What is the nature of the function j(x)=m(x)(n(x))2j\(\left\)(x\(\right\))=\(\frac{m\left(x\right)}{\left(n\left(x\right)\right)^2}\)?