For the given functions f and g, find the requested function and state its domain.
-$f ( x ) = 3 - 2 x ; g ( x ) = - 9 x + 2$ Find f + g.
A) $( f + g ) ( x ) = 7 x + 5 ; \left\{ x \mid x \neq \frac { 5 } { 7 } \right\}$
B) $( f + g ) ( x ) = - 11 x + 5 ;$ all real numbers
C)$ ( f + g ) ( x ) = - 6 x ;$ all real numbers
D) $( f + g ) ( x ) = - 9 x + 3 ; \left\{ x \mid x \neq \frac { 1 } { 3 } \right\}$

Question

For the given functions f and g, find the requested function and state its domain.
-$f ( x ) = 3 - 2 x ; g ( x ) = - 9 x + 2$ Find f + g. 
A) $( f + g ) ( x ) = 7 x + 5 ; \left\{ x \mid x \neq \frac { 5 } { 7 } \right\}$
B) $( f + g ) ( x ) = - 11 x + 5 ;$ all real numbers
C)$ ( f + g ) ( x ) = - 6 x ;$ all real numbers
D) $( f + g ) ( x ) = - 9 x + 3 ; \left\{ x \mid x \neq \frac { 1 } { 3 } \right\}$

Quizplus · Accepted Answer

To find $f + g$, you add the functions: $f(x) + g(x) = (3 - 2x) + (-9x + 2) = -11x + 5$. The domain of this linear function is all real numbers, as there are no restrictions such as division by zero or square roots of negative numbers.

For the Given Functions F and G, Find the Requested f(x)=3−2x;g(x)=−9x+2f ( x ) = 3 - 2 x ; g ( x ) = - 9 x + 2f(x)=3−2x;g(x)=−9x+2

For the Given Functions F and G, Find the Requested $f ( x ) = 3 - 2 x ; g ( x ) = - 9 x + 2$