91Ó°ÊÓ

State the excluded value for each function.

$\mathit{y}\mathbf{=}\frac{2}{\mathbf{2}\mathbf{x}\mathbf{−}\mathbf{5}}$

Assume that$y$ varies inversely as $x$. Write an inverse variation equation that relates$x$ and $y$.

role="math" localid="1648019765637" $y=2$when$x=8$

Find the area of the rectangle.

State the excluded value for each function.

$\mathit{y}\mathbf{=}\frac{3}{\mathbf{3}\mathbf{x}\mathbf{−}\mathbf{6}}$

Assume that $y$varies inversely as $x$. Write an inverse variation equation that relates $x$and $y$.

$y=−3$when$x=1$

Find the quotient.

$\frac{{\mathbf{x}}^{\mathbf{4}}}{{\mathbf{y}}^{\mathbf{2}}}\mathbf{÷}\frac{\mathbf{x}}{\mathbf{y}}$

State the excluded value for each function.

$\mathit{y}\mathbf{=}\frac{\mathbf{−}\mathbf{1}}{\mathbf{2}\mathbf{x}\mathbf{+}\mathbf{8}}$

Find each sum or difference.

$\frac{3}{x}+\frac{6}{x}$

PIZZA PARTY Katelyn ordered pizza and soda for her study group for $\mathbf{\$}\mathbf{38}$. The cost per person is given by $\mathit{y}\mathbf{=}\frac{38}{\mathbf{x}}$, where$\mathit{x}$ is the number of people in the study group. Graph the function and describe the asymptotes.

Find the quotient.

$\frac{\mathbf{x}\mathbf{+}\mathbf{3}}{\mathbf{2}\mathbf{x}\mathbf{+}\mathbf{6}}\mathbf{÷}\frac{\mathbf{3}\mathbf{x}\mathbf{−}\mathbf{6}}{\mathbf{4}\mathbf{x}\mathbf{−}\mathbf{8}}$