Rational Functions and Relations

Simplify:  $\frac{ab^2-5ab}{\left(5+b\right)\left(5-b\right)}\$  

•  $\frac{ab}{\left(5-b\right)}$  

•  $-\frac{ab}{\left(5+b\right)}$  

•  $\frac{ab}{\left(5+b\right)}$  

•  $-\frac{ab}{\left(5-b\right)}$  

Identify the asymptote of  $f\left(x\right)=\frac{4}{x-3}-5$  

• 4

• -3

• 3

• -5

State the domain and range  $f\left(x\right)=\frac{2}{x+5}-5$  

• Domain {x|x $\ne$  -5}, Range {x|x $\ne$  5}

• Domain {x|x $\ne$  5}, Range {x|x $\ne$  5}

• Domain {x|x $\ne$  -5}, Range {x|x $\ne$  -5}

• Domain {x|x $\ne$  5}, Range {x|x $\ne$  -5}

Suppose p varies directly as r and p varies inversely at t. Find t when r = 10 and p = -5, if t =20 when p = 4 and r =2.

• -80

• 80

• 20

• -20

If x increases then y increases, it is an example of direct variation.

• True

• False

Solve:  $\frac{7}{12}+\frac{9}{x-4}=\frac{55}{48}$  

• 10

• 5

• 15

• 20

Find x for  $x^2+5x+6=0$  

• (-2,-3)

• (2,3)

• (-2,3)

• (2,-3)

Under what conditions is the given expression undefined?  $\frac{2x\left(x-3\right)\left(x+2\right)}{x\left(x-2\right)\left(x-3\right)}$  

• 0

• -3

• 2

• 3

2x+15=225. Find x?

• 240

• 210

• 120

• 105

State the zero for  $\frac{3x}{x-3}$  

• 0

• 3

• -3

• x