91Ó°ÊÓ

Solve each equation by hand. Do not use a calculator. $$x^{2 / 3}=16$$

Explain how the graph of \(f\) can be obtained from the graph of \(y=\frac{1}{x}\) or \(y=\frac{1}{x^{2}}\) Draw a sketch of the graph of \(f\) by hand. Then generate an accurate depiction of the graph with a graphing calculator. Finally, give the domain and range. $$f(x)=\frac{1}{x}-2$$

Use positive rational exponents to rewrite each expression. Assume variables represent positive numbers. $$\sqrt{x+1}$$

Find all complex solutions for each equation by hand. Do not use a calculator. $$\frac{2 x}{x-3}+\frac{4}{x}-6=0$$

Find all complex solutions for each equation by hand. Do not use a calculator. $$x^{-4}-3 x^{-2}-4=0$$

Solve each equation by hand. Do not use a calculator. $$2 x^{1 / 3}-5=1$$

Explain how the graph of \(f\) can be obtained from the graph of \(y=\frac{1}{x}\) or \(y=\frac{1}{x^{2}}\) Draw a sketch of the graph of \(f\) by hand. Then generate an accurate depiction of the graph with a graphing calculator. Finally, give the domain and range. $$f(x)=\frac{1}{x-1}+1$$

Use positive rational exponents to rewrite each expression. Assume variables represent positive numbers. $$\sqrt[3]{z^{5}}$$

Find all complex solutions for each equation by hand. Do not use a calculator. $$x^{-4}-5 x^{-2}-36=0$$

Use positive rational exponents to rewrite each expression. Assume variables represent positive numbers. $$\sqrt[5]{x^{2}}$$