# Find the domain of the following functions: f(x)=(ln(x^2-100))/(sqrt(x-8))

Find the domain of the following functions:
$f\left(x\right)=\frac{\mathrm{ln}\left({x}^{2}-100\right)}{\sqrt{x-8}}$
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razdiralem
$f\left(x\right)=\frac{\mathrm{ln}\left({x}^{2}-100\right)}{\sqrt{x-8}}$
${x}^{2}-100>0$
${x}^{2}-100=0$
${x}^{2}=100$
$x=±10$
$x-8>0$
$x>8$
Domain: $\left(10,\mathrm{\infty }\right)$

Jeffrey Jordon

Answer is given below (on video)