Find the domain of the composite function f g. Write the domain in interval notation.
-$$f ( x ) = 8 x + 56 , g ( x ) = x + 6$$
A) $( - \infty , \infty )$
B) $( - \infty , - 7 ) \cup ( - 7 , - 6 ) ( - 6 , \infty )$
C) $( - \infty , - 13 ) \cup ( - 13 , \infty )$
D) $( - \infty , 13 ) \cup ( 13 , \infty )$

Question

Quizplus · Accepted Answer

The functions $f(x) = 8x + 56$ and $g(x) = x + 6$ are both linear functions, which means they are defined for all real numbers. Therefore, their composition $f(g(x))$ is also defined for all real numbers, making the domain $( - \infty , \infty )$.

Find the Domain of the Composite Function F G f(x)=8x+56,g(x)=x+6f ( x ) = 8 x + 56 , g ( x ) = x + 6f(x)=8x+56,g(x)=x+6

Find the Domain of the Composite Function F G $f ( x ) = 8 x + 56 , g ( x ) = x + 6$