Find the domain. Write the answer in interval notation. $$f ( x ) = \frac { 20 + x } { x - 3 }$$
A) $( - 20,3 )$
B) $( - \infty , \infty )$
C) $( - \infty , - 20 ) \cup ( - 20 , \infty )$
D) $( - \infty , 3 ) \cup ( 3 , \infty )$

Question

Quizplus · Accepted Answer

The domain of a function is the set of all possible input values (x-values) that will produce a valid output. For the function $f(x) = \frac{20 + x}{x - 3}$, the only restriction is that the denominator cannot be zero, as division by zero is undefined. Setting the denominator equal to zero and solving for x gives $x - 3 = 0$, or $x = 3$. Therefore, the domain is all real numbers except $x = 3$, which is represented by the interval notation $(-\infty, 3) \cup (3, \infty)$.

Find the Domain f(x)=20+xx−3f ( x ) = \frac { 20 + x } { x - 3 }f(x)=x−320+x​

Find the Domain $f ( x ) = \frac { 20 + x } { x - 3 }$