For the given functions f and g, find the requested function and state its domain. Write the domain in interval notation.
-$f ( x ) = 3 - 2 x ; g ( x ) = - 8 x + 2 ; \quad$ Find $f + g$.
A) $( f + g ) ( x ) = - 10 x + 5 ; ( \infty , \infty )$
B) $( f + g ) ( x ) = 6 x + 5 ; \left( \infty , \frac { 5 } { 6 } \right) \cup \left( \frac { 5 } { 6 } , \infty \right)$
C) $( f + g ) ( x ) = - 5 x ; ( \infty , \infty )$
D) $( f + g ) ( x ) = - 8 x + 3 ; \left( \infty , \frac { 3 } { 8 } \right) \cup \left( \frac { 3 } { 8 } , \infty \right)$

Question

Quizplus · Accepted Answer

To find $f + g$, add the functions: $f(x) + g(x) = (3 - 2x) + (-8x + 2) = -10x + 5$. The domain of a polynomial is all real numbers, represented as $(-\infty, \infty)$.

For the Given Functions F and G, Find the Requested f(x)=3−2x;g(x)=−8x+2;f ( x ) = 3 - 2 x ; g ( x ) = - 8 x + 2 ; \quadf(x)=3−2x;g(x)=−8x+2;

For the Given Functions F and G, Find the Requested $f ( x ) = 3 - 2 x ; g ( x ) = - 8 x + 2 ; \quad$