given-the-two-functions-ff-and-ggg-find-fgfracfggf-and-identify-the-domainfx5x2x

Question

Given the two functions $f$ and $g$ , find $\frac{f}{g}$ and identify the domain.

$f\left(x\right)=\frac{5x+2}{x^2-36},g\left(x\right)=\frac{6x-12}{x^2-36}$

Accepted Answer

$\left(\frac{f}{g}\right)\left(x\right)=\frac{5x+2}{6x-12}$ , $\left(-\infty,-6\right)\cup\left(-6,2\right)\cup\left(2,6)\cup\left(6,\infty\right)\right.$

Answer

$\left(\frac{f}{g}\right)\left(x\right)=\frac{5x+2}{6x-12}$ , $\left(-\infty,-6\right)\cup\left(-6,2\right)\cup\left(2,6)\cup\left(6,\infty\right)\right.$

Answer

$\left(\frac{f}{g}\right)\left(x\right)=\frac{5x+2}{6x-12}$ , $\left(-\infty,-6\right)\cup\left(-6,2\right)\cup\left(2,6)\cup\left(6,\infty\right)\right.$

Answer

$\left(\frac{f}{g}\right)\left(x\right)=\frac{5x+2}{6x-12}$ , $\left(-\infty,-6\right)\cup\left(-6,2\right)\cup\left(2,6)\cup\left(6,\infty\right)\right.$

Given the two functions ﻿fff﻿ and ﻿ggg﻿, find ﻿fg\frac{f}{g}gf​﻿ and identify the domain.﻿f(x)=5x+2x2−36,g(x)=6x−12x2−36f\left(x\right)=\frac{5x+2}{x^2-36},g\left(x\right)=\frac{6x-12}{x^2-36}f(x)=x2−365x+2​,g(x)=x2−366x−12​﻿

Given the two functions $f$ and $g$ , find $\frac{f}{g}$ and identify the domain.
$f\left(x\right)=\frac{5x+2}{x^2-36},g\left(x\right)=\frac{6x-12}{x^2-36}$