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Chapter 1: Problem 25
Find the zeros of the function algebraically. $$ f(x)=\frac{x}{9 x^{2}-4} $$
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Prove that if \(f\) is a one-to-one odd function, then \(f^{-1}\) is an odd function.
Two techniques for fitting models to data are called direct _____ and least squares _____ .
(a) find the inverse function of \(f\), (b) graph both \(f\) and \(f^{-1}\) on the same set of coordinate axes, (c) describe the relationship between the graphs of \(f\) and \(f^{-1}\), and (d) state the domain and range of \(f\) and \(f^{-1}\). $$ f(x)=-\frac{2}{x} $$
Find a mathematical model representing the statement. (In each case, determine the constant of proportionality.) \(A\) varies directly as \(r^{2} .(A=9 \pi\) when \(r=3 .)\)
Find a mathematical model for the verbal statement. A varies directly as the square of \(r\).
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