Function operations-Division

Divide and simplify (if possible):
 $f\left(x\right)=x^2-4$ 
  $g\left(x\right)=x^2+4x+4$  
 $\left(\frac{f}{g}\right)\left(x\right)$  

•  $\frac{x-2}{x+2}$  

•  $\frac{x+2}{x-2}$  

•  $x-2$  

•  $x+2$  

Tags

CCSS.HSA.APR.D.6

Divide and simplify (if possible):
 $f\left(x\right)=5x-1$ 
  $g\left(x\right)=x-7$  
 $\left(\frac{g}{f}\right)\left(x\right)$  

•  $\frac{x-7}{5x-1}$  

•  $\frac{5x-1}{x-7}$  

Tags

CCSS.HSA.APR.D.6

Divide and simplify (if possible):
 $f\left(x\right)=x^2+4x-5$ 
  $g\left(x\right)=x^2+5x$  
 $\frac{f\left(x\right)}{g\left(x\right)}$  

•  $\frac{x-1}{x}$  

•  $\frac{x}{x-1}$  

•  $\frac{x+5}{x}$  

•  $\frac{\left(x+5\right)\left(x-1\right)}{x}$  

Tags

CCSS.HSA.APR.D.6

Divide and simplify (if possible):
 $f\left(x\right)=x^2-6x-16$ 
  $g\left(x\right)=x^2-4x-12$  
 $\frac{g\left(x\right)}{f\left(x\right)}$  

•  $\frac{x-8}{x-6}$  

•  $\frac{x+8}{x+6}$  

•  $\frac{x-6}{x-8}$  

•  $\frac{x+6}{x+2}$  

Tags

CCSS.HSA.APR.D.6

Let $f\left(x\right)\ =\ x^2-25$ and  $g\left(x\right)\ =\ x^2-7x+10$ . Find the quotient  $\left(\frac{g}{f}\right)\left(x\right)$  in simplified form.

Make sure you enter your answer with all necessary parentheses. For example, you could enter  $\frac{2}{x+1}$  as 2/(x+1).  
  

Tags

CCSS.HSA.APR.D.6