How do I find the domain of log10 (x^2 - 4)?
What is the domain is the base 10 logarithm ? It is $\displaystyle 0$. Therefore, the domain of this function is :
$\displaystyle x^2 - 4 \geq 0$
$\displaystyle x^2 \geq 4$
$\displaystyle x \geq 2$ OR $\displaystyle x \leq -2$
Therefore, the domain of this function is $\displaystyle x \leq -2$ and $\displaystyle x \geq 2$
Surely you mean "x> 0".
Therefore, the domain of this function is :
$\displaystyle x^2 - 4 \geq 0$
$\displaystyle x^2 \geq 4$
$\displaystyle x \geq 2$ OR [tex]x \leq -2[\MATH]
Therefore, the domain of this function is $\displaystyle x \leq -2$ and $\displaystyle x \geq 2$