Problem Solving (PS) | Re: If f(x) = (x^4 - 1)/(x^2), what is f(1/x) in terms of f(x)?

If \(f(x) = \frac{x^4 - 1}{x^2}\), what is \(f(\frac{1}{x})\) in terms of \(f(x)\)?

A. \(f(x)\)


B. \(-f(x)\)


C. \(\frac{1}{f(x)}\)


D. \(-\frac{1}{f(x)}\)


E. \(2f(x)\)


\(f(\frac{1}{x}) = \)

\(=\frac{\frac{1}{x^4} - 1}{\frac{1}{x^2} } = \)

\(=(\frac{1}{x^4} - 1)*x^2 = \)

\(=\frac{1}{x^2} - x^2 = \)

\(=\frac{1 - x^4}{x^2} = \)

\(=-\frac{x^4 - 1}{x^2} = \)

\(=-f(x)\).


Answer: B

Statistics : Posted by Bunuel • on 19 Nov 2007, 10:02 • Replies 3 • Views 9139

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