Find the domain of the rational expression.
-$f ( x ) = \frac { 5 x } { - 3 + x }$
A) $\{ x \mid x$ is a real number and $x \neq - 3 \}$
B) $\{ x \mid x$ is a real number and $x \neq 0 \}$
C) $\{ x \mid x$ is a real number and $x \neq 3 \}$
D) $\{ x \mid x$ is a real number and $x \neq 0 , x \neq 3 \}$

Question

Quizplus · Accepted Answer

The domain of a rational expression excludes values that make the denominator zero. For $f(x) = \frac{5x}{-3 + x}$, the denominator $-3 + x$ is zero when $x = 3$. Thus, $x$ cannot be 3.

Find the Domain of the Rational Expression f(x)=5x−3+xf ( x ) = \frac { 5 x } { - 3 + x }f(x)=−3+x5x​

Find the Domain of the Rational Expression $f ( x ) = \frac { 5 x } { - 3 + x }$