Writing and interpreting functions

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If  $f\left(x\right)\ =\ 3x^2-4$ and $g\left(x\right)=x^2-8x+4$ , then  $\left(\frac{f}{g}\right)\left(x\right)=$ 

•  $\frac{3x^2-4}{x^2-8x+4}$  

•  $\frac{x^2-8x+4}{3x^2-4}$  

•  $\frac{3x^2-1}{x^2-8x}$  

•  $\frac{1}{-4x}$  

• 3x-3

• x-3

• 3x+11

Find (fg)(x) and its domain. $f\left(x\right)=2+\frac{1}{x}\ and\ g\left(x\right)=\frac{1}{x}$  

•  $\frac{2x+1}{x^2};\ D:\left(-\infty,0\right)\cup\left(0,\infty\right)$  

•  $\frac{x^2}{2x+1};\ D:\left(-\infty,0\right)\cup\left(0,\infty\right)$  

•  $\frac{2x+1}{x^2};\ D:\left(-\infty,\infty\right)$  

•  $\frac{x^2}{2x+1};\ D:\left(-\infty,\infty\right)$  

What is (fg)(x)?

• (2x-4)/x
• 1/(2x-4)
• (2/x)-4
• DNE

 $f\left(x\right)=g\left(x\right)-3$ 
  $g\left(x\right)=2x+4$   
Write the explicit form of  $f\left(x\right)$  .  (Do NOT type any spaces.)

When f(x) = x² -9 
and g(x) = x+3 ,
find (f/g)(x). 

• x-3
• x+3
• x-12
• x-6

f – g at f = 10, g = 6

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