Find the specified domain.
-Find the domain of $( f + g ) ( x )$ when $f ( x ) = 3 x + 9$ and $g ( x ) = \frac { 2 } { x - 8 }$
A) $( - \infty , 8 ) \cup ( 8 , \infty )$
B) $( - \infty , \infty )$
C) $( - \infty , - 2 ) \cup ( - 2 , \infty )$
D) $( - \infty , - 8 ) \cup ( - 8 , \infty )$

Question

Quizplus · Accepted Answer

The domain of $f(x) = 3x + 9$ is all real numbers, or $(-\infty, \infty)$, because there are no restrictions on $x$. The domain of $g(x) = \frac{2}{x-8}$ is all real numbers except $x = 8$, because the denominator cannot be zero. Therefore, the domain of $(f + g)(x)$ is all real numbers except $x = 8$, which is $(-\infty, 8) \cup (8, \infty)$.

Find the Specified Domain (f+g)(x)( f + g ) ( x )(f+g)(x)

Find the Specified Domain $( f + g ) ( x )$