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Chapter 1: Problem 24
Evaluate the indicated function for \(f(x)=x^{2}+1\) and \(g(x)=x-4\). $$ (f g)(-6) $$
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Determine whether the function has an inverse function. If it does, find the inverse function. $$ f(x)=|x-2|, \quad x \leq 2 $$
Determine if the situation could be represented by a one-to-one function. If so, write a statement that describes the inverse function. The number of miles \(n\) a marathon runner has completed in terms of the time \(t\) in hours
Restrict the domain of \(f(x)=x^{2}+1\) to \(x \geq 0 .\) Use a graphing utility to graph the function. Does the restricted function have an inverse function? Explain.
The simple interest on an investment is directly proportional to the amount of the investment. By investing \(\$ 3250\) in a certain bond issue, you obtained an interest payment of \(\$ 113.75\) after 1 year. Find a mathematical model that gives the interest \(I\) for this bond issue after 1 year in terms of the amount invested \(P\)
Find a mathematical model for the verbal statement. \(V\) varies directly as the cube of \(e\).
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