91Ó°ÊÓ

Find the natural domain and graph the functions in Exercises \(15-20 .\) $$g(x)=\sqrt{-x}$$

Find an appropriate graphing software viewing window for the given function and use it to display its graph. The window should give a picture of the overall behavior of the function. There is more than one choice, but incorrect choices can miss important aspects of the function. \begin{equation} f(x)=\frac{x^{2}+2}{x^{2}+1} \end{equation}

Let \(f(x)=\frac{x}{x-2}\) . Find a function \(y=g(x)\) so that \((f \circ g)(x)=x\) .

Find the natural domain and graph the functions in Exercises \(15-20 .\) $$G(t)=1 /|t|$$

Let \(f(x)=2 x^{3}-4 .\) Find a function \(y=g(x)\) so that \((f \circ g)(x)=x+2\)

Find an appropriate graphing software viewing window for the given function and use it to display its graph. The window should give a picture of the overall behavior of the function. There is more than one choice, but incorrect choices can miss important aspects of the function. \begin{equation} f(x)=\frac{x^{2}-1}{x^{2}+1} \end{equation}

Graph the functions in Exercises \(13-22 .\) What is the period of each function? $$\sin \left(x-\frac{\pi}{4}\right)+1$$

Find an appropriate graphing software viewing window for the given function and use it to display its graph. The window should give a picture of the overall behavior of the function. There is more than one choice, but incorrect choices can miss important aspects of the function. \begin{equation} f(x)=\frac{x-1}{x^{2}-x-6} \end{equation}

Find the domain of $$y=\frac{x+3}{4-\sqrt{x^{2}-9}}$$

Find the range of $$y=2+\frac{x^{2}}{x^{2}+4}$$