Find the domain of the function.
-$$f ( x ) = x - \frac { 7 } { x - 3 }$$
A) $( \infty , 7 )$ or $( 7 , \infty )$
B) $( \infty , \infty )$
C) $( \infty , 0 )$ or $( 0 , \infty )$
D) $( \infty , 3 )$ or $( 3 , \infty )$

Question

Quizplus · Accepted Answer

The domain of the function excludes values that make the denominator zero. Since the denominator is $x - 3$, setting it equal to zero gives $x = 3$. Therefore, the domain is all real numbers except $x = 3$, which is represented by $(-\infty, 3)$ and $(3, \infty)$.

Find the Domain of the Function f(x)=x−7x−3f ( x ) = x - \frac { 7 } { x - 3 }f(x)=x−x−37​

Find the Domain of the Function $f ( x ) = x - \frac { 7 } { x - 3 }$