Finding the Domain of a Rational Expression

Very Hard Advanced Math Rational Expressions

Consider the rational expression $$ R(x) = \f\frac{(x^2 - 4x + 4)}{(x^2 - 5x + 6)} $$.

Determine the values of $$ x $$ for which $$ R(x) $$ is undefined. Additionally, simplify the expression as much as possible and find its domain excluding these undefined points.

The values are $$ x = 2 $$ and $$ x = 3 $$; domain is $$ x \in (-\infty, 2) \cup (2, 3) \cup (3, \infty) $$.

The values are $$ x = 2 $$ and $$ x = 3 $$; domain is $$ x \in (-\infty, 3) \cup (3, \infty) $$.

The values are $$ x = 1 $$ and $$ x = 6 $$; domain is $$ x \in (-\infty, 1) \cup (1, 6) \cup (6, \infty) $$.

The values are $$ x = 3 $$ and $$ x = 2 $$; domain is $$ x \in (-\infty, \infty) $$.

Hint

Submitted12.0K

Correct9.8K

% Correct82%