Given functions f and g, perform the indicated operations.
-$$f ( x ) = 5 x + 5 , \quad g ( x ) = \frac { 3 } { x - 6 }$$
A) $( - \infty , 6 )$ or $( 6 , \infty )$
B) $( - \infty , \infty )$
C) $( 0 , \infty )$
D) $( - \infty , - 3 )$ or $( - 3 , \infty )$

Question

Quizplus · Accepted Answer

The domain of $g(x) = \frac{3}{x-6}$ is all real numbers except $x = 6$ because the denominator cannot be zero. The domain of $f(x) = 5x + 5$ is all real numbers. Therefore, the combined domain, considering the restriction from $g(x)$, is all real numbers except $x = 6$, which is represented by $(- \infty , 6 )$ or $( 6 , \infty )$.

Given Functions F and G, Perform the Indicated Operations f(x)=5x+5,g(x)=3x−6f ( x ) = 5 x + 5 , \quad g ( x ) = \frac { 3 } { x - 6 }f(x)=5x+5,g(x)=x−63​

Given Functions F and G, Perform the Indicated Operations $f ( x ) = 5 x + 5 , \quad g ( x ) = \frac { 3 } { x - 6 }$