Question

find the domain of f(x) = ln(x^3 - x)

Answer 1

hint : the domain of ln(x) is x>0

Answer 2

So, following the hint, \[x^3-x>0 \implies x(x^2-1)=x(x=1)(x-1)>0 \implies x \in (-\infty,-1) \cup (1,\infty)\]

Answer 3

Typo in my equation above: Second of three factors is (x+1).

Answer 4

thanks!!!!

Answer 5

No sweat. Do math every day.