Chapter 7

Graph each function. \(y=\sqrt{x}+1\)

Find the inverse of each relation. Graph the given relation and its inverse. $$ \begin{array}{|c|c|c|c|c|}\hline x & {1} & {2} & {3} & {4} \\ \hline y & {0} & {1} & {0} & {2} \\ \hline\end{array} $$

Solve. \(3 \sqrt{x}+3=15\)

Let \(f(x)=3 x+5\) and \(g(x)=x^{2} .\) Perform each function operation. $$ f(x)+g(x) $$

Add or subtract if possible. $$ 5 \sqrt{6}+\sqrt{6} $$

Multiply, if possible. Then simplify. $$ \sqrt{8} \cdot \sqrt{32} $$

Simplify each expression. $$36^{\frac{1}{2}}$$

Find all the real square roots of each number. $$ 225 $$

Graph each function. \(y=\sqrt{x}-2\)

Find the inverse of each relation. Graph the given relation and its inverse. $$ \begin{array}{|c|c|c|c|c|}\hline x & {1} & {2} & {3} & {4} \\ \hline y & {0} & {1} & {2} & {3} \\ \hline\end{array} $$

Solve. \(4 \sqrt{x}-1=3\)

Let \(f(x)=3 x+5\) and \(g(x)=x^{2} .\) Perform each function operation. $$ g(x)-f(x) $$

Add or subtract if possible. $$ 6 \sqrt[3]{3}-2 \sqrt[3]{3} $$

Multiply, if possible. Then simplify. $$ \sqrt[3]{4} \cdot \sqrt[3]{16} $$

Simplify each expression. $$ 27^{\frac{1}{3}} $$

Find all the real square roots of each number. $$ 0.0049 $$

Graph each function. \(y=\sqrt{x}-4\)

Find the inverse of each relation. Graph the given relation and its inverse. $$ \begin{array}{|c|c|c|c|c|}\hline x & {0} & {1} & {2} & {3} \\ \hline y & {0} & {1} & {4} & {9} \\ \hline\end{array} $$

Solve. \(\sqrt{x+3}=5\)

Let \(f(x)=3 x+5\) and \(g(x)=x^{2} .\) Perform each function operation. $$ f(x)-g(x) $$

Add or subtract if possible. $$ 4 \sqrt{3}+4 \sqrt[3]{3} $$

Multiply, if possible. Then simplify. $$ \sqrt[3]{9} \cdot \sqrt[3]{-81} $$

Simplify each expression. $$ 49^{\frac{1}{2}} $$

Graph each function. \(y=\sqrt{x}+5\)

Find the inverse of each relation. Graph the given relation and its inverse. $$ \begin{array}{|c|c|c|c|c|}\hline x & {-3} & {-2} & {-1} & {0} \\ \hline y & {2} & {2} & {2} & {2} \\ \hline\end{array} $$

Solve. \(\sqrt{3 x+4}=4\)

Let \(f(x)=3 x+5\) and \(g(x)=x^{2} .\) Perform each function operation. $$ f(x) \cdot g(x) $$

Add or subtract if possible. $$ 3 \sqrt{x}-5 \sqrt{x} $$

Multiply, if possible. Then simplify. $$ \sqrt[4]{8} \cdot \sqrt[4]{32} $$

Simplify each expression. $$ 10^{\frac{1}{2}} \cdot 10^{\frac{1}{2}} $$

Find all the real square roots of each number. $$ \frac{64}{169} $$

Graph each function. \(y=\sqrt{x-3}\)

Find the inverse of each function. Is the inverse a function? $$ y=3 x+1 $$

Solve. \(\sqrt{2 x+3}-7=0\)

Let \(f(x)=3 x+5\) and \(g(x)=x^{2} .\) Perform each function operation. $$ \frac{f(x)}{g(x)} $$

Multiply, if possible. Then simplify. $$ \sqrt{-5} \cdot \sqrt{5} $$

Simplify each expression. $$(-3)^{\frac{1}{3}} \cdot(-3)^{\frac{1}{3}} \cdot(-3)^{\frac{1}{3}}$$

Find all the real cube roots of each number. $$ -64 $$

Graph each function. \(y=\sqrt{x+1}\)

Find the inverse of each function. Is the inverse a function? $$ y=2 x-1 $$

Solve. \(\sqrt{6-3 x}-2=0\)

Let \(f(x)=3 x+5\) and \(g(x)=x^{2} .\) Perform each function operation. $$ \frac{g(x)}{f(x)} $$

Add or subtract if possible. $$ 7 \sqrt[3]{x^{2}}-2 \sqrt[3]{x^{2}} $$

Multiply, if possible. Then simplify. $$ \sqrt[3]{-5} \cdot \sqrt[3]{-25} $$

Simplify each expression. $$ 3^{\frac{1}{2}} \cdot 12^{\frac{1}{2}} $$

Find all the real cube roots of each number. $$ 0.125 $$

Graph each function. \(y=\sqrt{x+6}\)

Find the inverse of each function. Is the inverse a function? $$ y=4-3 x $$

Solve. \((x+5)^{\frac{2}{3}}=4\)

Let \(f(x)=3 x+5\) and \(g(x)=x^{2} .\) Perform each function operation. $$ (f+g)(x) $$