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Chapter 1: Problem 26
Find the zeros of the function algebraically. $$ f(x)=\frac{x^{2}-9 x+14}{4 x} $$
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Use the functions given by \(f(x)=\frac{1}{8} x-3\) and \(g(x)=x^{3}\) to find the indicated value or function. $$ (f \circ g)^{-1} $$
Determine whether the function has an inverse function. If it does, find the inverse function. $$ f(x)=(x+3)^{2}, \quad x \geq-3 $$
Use the functions given by \(f(x)=\frac{1}{8} x-3\) and \(g(x)=x^{3}\) to find the indicated value or function. $$ \left(f^{-1} \circ g^{-1}\right)(1) $$
Use the given value of \(k\) to complete the table for the direct variation model $$y=k x^{2}$$ Plot the points on a rectangular coordinate system. $$\begin{array}{|l|l|l|l|l|l|} \hline x & 2 & 4 & 6 & 8 & 10 \\ \hline y=k x^{2} & & & & & \\ \hline \end{array}$$ $$ k=\frac{1}{2} $$
Determine if the situation could be represented by a one-to-one function. If so, write a statement that describes the inverse function. The height \(h\) in inches of a human born in the year 2000 in terms of his or her age \(n\) in years.
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