# Question: F(x)=x/(x+8) g(x)=3x-8 what is f/g(x) = ?

Question: $F\left(x\right)=\frac{x}{x+8}\phantom{\rule{1em}{0ex}}g\left(x\right)=3x-8$ what is $\frac{f}{g}\left(x\right)=?$
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Solution:
$f\left(x\right)=\frac{x}{x+8}\phantom{\rule{0ex}{0ex}}g\left(x\right)=3x-8\phantom{\rule{0ex}{0ex}}\frac{f\left(x\right)}{g\left(x\right)}=\frac{\frac{x}{x+8}}{3x-8}\phantom{\rule{0ex}{0ex}}\frac{f\left(x\right)}{g\left(x\right)}=\frac{x}{3{x}^{2}+24x-8x-64}\phantom{\rule{0ex}{0ex}}\frac{f\left(x\right)}{g\left(x\right)}=\frac{x}{3{x}^{2}+16x-64}$