91Ó°ÊÓ

\(f(x)=x^{2}+2 x+1, \quad g(x)=3 x+3\)

In Exercises 39-54, (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 \(f^{-1}\). $$ f(x)=\frac{6 x+4}{4 x+5} $$

In Exercises \(49-54\), place the correct symbol \((\langle,>\), or \(=)\) between the pair of real numbers. $$ -|-2|-|2| $$

Use a graphing utility to graph the function and approximate (to two decimal places) any relative minimum or relative maximum values. $$ f(x)=x(x-2)(x+3) $$

\(f(x)=x^{4}-2 x^{2}, \quad g(x)=2 x^{2}\)

Find the slope-intercept form of the equation of the line passing through the points. Sketch the line. \((-1,4),(6,4)\)

In Exercises 39-54, (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 \(f^{-1}\). $$ f(x)=\frac{8 x-4}{2 x+6} $$

In Exercises \(49-54\), place the correct symbol \((\langle,>\), or \(=)\) between the pair of real numbers. $$ -(-2) \quad-2 $$

Use a graphing utility to graph the function and approximate (to two decimal places) any relative minimum or relative maximum values. $$ f(x)=x^{3}-3 x^{2}-x+1 $$

Write the quadratic equation in general form. $$ x(x+2)=5 x^{2}+1 $$