given-the-two-functions-fff-and-ggg-find-fgfracfggf-and-identify-the-domainfx18x

Question

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

$f\left(x\right)=\frac{18x}{x-6},g\left(x\right)=\frac{16}{x+10}$

Accepted Answer

$\left(\frac{f}{g}\right)\left(x\right)=\frac{9x\left(x+10\right)}{8\left(x-6\right)}$ , $\left(-\infty,-10\right)\cup\left(-10,6\right)\cup\left(6,\infty\right)$

Answer

$\left(\frac{f}{g}\right)\left(x\right)=\frac{9x\left(x+10\right)}{8\left(x-6\right)}$ , $(- \infty, - 10) \cup (6, \infty)$

Answer

$\left(\frac{f}{g}\right)\left(x\right)=\frac{9x\left(x+10\right)}{8\left(x-6\right)}$ , $(- \infty, - 10) \cup (6, \infty)$

Answer

$\left(\frac{f}{g}\right)\left(x\right)=\frac{9x\left(x+10\right)}{8\left(x-6\right)}$ , $(- \infty, - 10) \cup (6, \infty)$

Given the two functions ﻿fff﻿ and ﻿ggg﻿, find ﻿fg\frac{f}{g}gf​﻿ and identify the domain.﻿f(x)=18xx−6,g(x)=16x+10f\left(x\right)=\frac{18x}{x-6},g\left(x\right)=\frac{16}{x+10}f(x)=x−618x​,g(x)=x+1016​﻿

Given the two functions $f$ and $g$ , find $\frac{f}{g}$ and identify the domain.
$f\left(x\right)=\frac{18x}{x-6},g\left(x\right)=\frac{16}{x+10}$