91Ó°ÊÓ

State the excluded value or values for each function.

$y=\frac{5}{x^2−5x−24}$

Identify the asymptotes of each function.

$y=\frac{2}{\left(x−4\right)\left(x+2\right)}$

Simplify each expression.

$\frac{4y^2}{8y^4+16y^3}$

Identify the asymptotes of each function.

$y=\frac{4}{x^2+3x−28}+2$

State the excluded values for each function.

$y=\frac{x}{x^2+9x+18}$

State the excluded values for each function.

$y=\frac{10}{6x^2+7x−3}$

MULTIPLE CHOICE Lee can shovel the driveway in 3 hours, and Susan can shovel the driveway in 2 hours. How long will it take them working together?

$$\begin{gathered} \mathbf{\text{F}}\mathbf{6}\mathbf{}\mathbf{hours} \\ \mathbf{G}\mathbf{}\mathbf{5}\mathbf{}\mathbf{hours} \\ \mathbf{H}\mathbf{}\frac{\mathbf{3}}{\mathbf{5}}\mathbf{}\mathbf{hours} \\ \mathbf{J}\mathbf{}\frac{\mathbf{6}}{\mathbf{5}}\mathbf{}\mathbf{hours} \end{gathered}$$

Find each product or quotient.

$\frac{6x^2{y}^4}{12}â‹\dots \frac{3x^3{y}^2}{xy}$

PAINTING Sydney can paint a 60-square foot wall in 40 minutes. Working with her friend Cleveland, the two of them can paint the wall in 25 minutes. How long would it take Cleveland to do the job himself?

Find each product or quotient.

$\frac{3x−6}{x^2−9}â‹\dots \frac{x+3}{x^2−2x}$