Find the domain of the rational function.
-$$f ( x ) = \frac { 7 x } { x - 4 }$$
A) $\{ x \mid x \neq 4 \}$
B) $\{ x \mid x \neq - 4 \}$
C) $\{ x \mid x \neq 0 \}$
D) all real numbers

Question

Quizplus · Accepted Answer

The domain of a rational function excludes values that make the denominator zero. For $f(x) = \frac{7x}{x-4}$, the denominator is zero when $x-4 = 0$, which means $x = 4$. Therefore, the domain is all real numbers except $x = 4$, which matches choice A.

Find the Domain of the Rational Function f(x)=7xx−4f ( x ) = \frac { 7 x } { x - 4 }f(x)=x−47x​

Find the Domain of the Rational Function $f ( x ) = \frac { 7 x } { x - 4 }$