domain of (4x-3)/(6-3x) — step-by-step solution

Let's evaluate the domain of

\frac{4 x - 3}{6 - 3 x}

For the expression

\frac{4 x - 3}{6 - 3 x}

to be defined, we must have:

6 - 3 x \neq 0

ⓘ We add

3 x

to both sides

6 \neq 3 x

ⓘ Both sides are divided by

3

x \neq \frac{6}{3}

ⓘ We simplify the fraction by dividing the numerator and the denominator by

3

, their greatest common divisor:

\frac{6}{3}

2

▶Domain of definition:

x \neq 2