domain of 1/(x*(x-3)*(x+2)) — step-by-step solution

Let's find the domain of

\frac{1}{x \cdot (x - 3) \cdot (x + 2)}

For the expression

\frac{1}{x \cdot (x - 3) \cdot (x + 2)}

to exist, you must check:

x \cdot (x - 3) \cdot (x + 2) \neq 0

⇥Let's solve in

ℝ

x \neq 0

⇥Solution found:

x \neq 0

⇥Let's solve in

ℝ

x - 3 \neq 0

⇥Solution found:

x \neq 3

⇥Let's solve in

ℝ

x + 2 \neq 0

⇥Solution obtained:

x \neq -2

▶Domain of definition:

x \in ℝ \ {-2, 0, 3}