A2H Final Exam Practice

Simplify.

• $\frac{x+6}{x+4}$

• $\frac{1}{x-5}$

• $\frac{x+6}{x+5}$
  

• $\frac{x+6}{x-5}$

• $\frac{x+6}{\left(x+5\right)\left(x-4\right)}$

Subtract

 $\frac{x^2-3}{2x+7}-\frac{2x-5}{2x+7}$  

•  $\frac{x^2-2x-8}{2x+7}\ ,\ x\ne-\frac{7}{2}$ 

•  $x^2-2x-8\ ,\ x\ne0$  

•  $x^2-2x+2\ ,\ x\ne0$  

•  $\frac{x^2-2x+2}{2x+7}\ ,\ \ x\ne-\frac{7}{2}$  

Add

 $\frac{2x}{x^2-36}+\frac{x+4}{x+6}$  

•  $\frac{x^2-24}{\left(x+6\right)\left(x-6\right)}\ ,\ x\ne\pm6$  

•  $\frac{x^3+6x^2-24x}{\left(x^2-36\right)\left(x+6\right)}\ x\ne-6,\ 36$  

•  $\frac{x^2+2x-24}{\left(x+6\right)\left(x-6\right)}\ ,\ x\ne\pm6$  

•  $\frac{x^2+12x+24}{\left(x+6\right)\left(x-6\right)}\ ,\ x\ne\pm6$  

Subtract

 $\frac{6}{x^2+4x-32}-\frac{x-5}{x-4}$  

•  $\frac{-x^2+3x-34}{\left(x+8\right)\left(x-4\right)}\ ,\ x\ne-8,\ 4$  

•  $\frac{-x^2+3x-34}{\left(x+8\right)\left(x-4\right)}\ ,\ x\ne-4,\ 8$  

•  $\frac{-x^2-3x+46}{\left(x+8\right)\left(x-4\right)}\ ,\ x\ne-8,\ 4$  

•  $\frac{-x^2-3x+46}{\left(x+8\right)\left(x-4\right)}\ ,\ x\ne-4,\ 8$  

Simplify: $\frac{\frac{1}{k+2}}{\frac{5}{k^2-4}}$  

•  $\frac{k-2}{5}$  

•  $\frac{k+2}{5}$  

•  $\frac{5}{k-2}$  

•  $k-2$  

Simplify: $\frac{\frac{6-y}{6}}{\frac{1}{6}-\frac{1}{y}}$  

• -y

• y

•  $-\frac{6}{y}$  

•  $-\frac{1}{y}$  

What's the horizontal asymptote of the function?

• y = 0

• No horizontal asymptote

• y = 2

• y = 4

What's the horizontal asymptote of the function?

• y = 0

• No horizontal asymptote

• y = 1

• y = 9

What's the horizontal asymptote of the function?

• y = 0

• No horizontal asymptote

• y = 1/2

• y = 1

What's the vertical asymptote of the function?

• x = -9

• x = 9

• x = 3 , x = -3

• x = 3