For the pair of functions, determine the domain of f + g.
-$$f ( x ) = 5 x + 5 , g ( x ) = \frac { 3 } { x + 1 }$$
A) $( \infty , \infty )$
B) $( 0 , \infty )$
C) $( \infty , - 3 )$ or $( - 3 , \infty )$
D) $( - , - 1 )$ or $( - 1 , \infty )$

Question

Quizplus · Accepted Answer

The domain of $f(x) = 5x + 5$ is all real numbers, but the domain of $g(x) = \frac{3}{x+1}$ excludes $x = -1$ because the denominator cannot be zero. Therefore, the domain of $f + g$ is all real numbers except $x = -1$, which is option D.

For the Pair of Functions, Determine the Domain of F f(x)=5x+5,g(x)=3x+1f ( x ) = 5 x + 5 , g ( x ) = \frac { 3 } { x + 1 }f(x)=5x+5,g(x)=x+13​

For the Pair of Functions, Determine the Domain of F $f ( x ) = 5 x + 5 , g ( x ) = \frac { 3 } { x + 1 }$