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

Let's find the domain of

\frac{2 x^{2}}{3 x + 2}

For the expression

\frac{2 x^{2}}{3 x + 2}

to exist, you must check:

3 x + 2 \neq 0

ⓘ We subtract

2

from both sides

3 x \neq -2

ⓘ Both sides are divided by

3

▶Domain of definition:

x \neq - \frac{2}{3}

The numeric value of:

x \neq - \frac{2}{3}

equals:

▷

x \neq -0.6667 (approximate value)