Answer:
[tex]\frac{f(x)}{g(x)}=\frac{2}{3x^2}[/tex]
Step-by-step explanation:
We want to find [tex]\frac{f(x)}{g(x)}[/tex] given that [tex]f(x)=2x[/tex] and [tex]g(x)=3x^3[/tex].
We substitute the functions to get:
[tex]\frac{f(x)}{g(x)}=\frac{2x}{3x^3}[/tex]
We simplify the rational function to get:
[tex]\frac{f(x)}{g(x)}=\frac{2}{3x^2}[/tex]
However, this function is only defined for [tex]x\ne 0[/tex]
