For the pair of functions, determine the domain of f + g.
-$$f ( x ) = 2 x + 4 , g ( x ) = \frac { 5 } { x - 9 }$$
A) $( \infty , \infty )$
B) $( \infty , 9 )$ or $( 9 , \infty )$
C) $( \infty, - 5 )$ or $( - 5 , \infty )$
D) $( 0 , \infty )$

Question

Quizplus · Accepted Answer

The domain of $f(x) = 2x + 4$ is all real numbers, but the domain of $g(x) = \frac{5}{x - 9}$ excludes $x = 9$ because division by zero is undefined. Therefore, the domain of $f + g$ is all real numbers except $x = 9$, which corresponds to $(-\infty, 9)$ and $(9, \infty)$.

For the Pair of Functions, Determine the Domain of F f(x)=2x+4,g(x)=5x−9f ( x ) = 2 x + 4 , g ( x ) = \frac { 5 } { x - 9 }f(x)=2x+4,g(x)=x−95​

For the Pair of Functions, Determine the Domain of F $f ( x ) = 2 x + 4 , g ( x ) = \frac { 5 } { x - 9 }$