Determine if the following function is even or odd.\(f(x)=\frac{5 x}{2 x^{2}-1}\)

(B) odd

Explanation

Replacing x with -x, we get \(f(-x)=\frac{5(-x)}{2(-x)^{2}-1}=\frac{-5 x}{2 x^{2}-1}=-f(x)\)

So, f(x) is an odd function.

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