If $f ( x ) = 15 x + 7$ and $g ( x ) = x ^ { 2 } - 5 x$, find $( f + g ) ( x )$.
A) $( f + g ) ( x ) = 15 x ^ { 2 } - 75 x + 7$
B) $( f + g ) ( x ) = 15 x + 7 + g$
C) $( f + g ) ( x ) = x ^ { 2 } + 10 x + 7$
D) $( f + g ) ( x ) = 15 x ^ { 3 } - 68 x ^ { 2 } - 35 x$

Question

Quizplus · Accepted Answer

To find $(f+g)(x)$, you add the functions $f(x)$ and $g(x)$ together: $15x + 7 + x^2 - 5x = x^2 + 10x + 7$.

If f(x)=15x+7f ( x ) = 15 x + 7f(x)=15x+7 And g(x)=x2−5xg ( x ) = x ^ { 2 } - 5 xg(x)=x2−5x

If $f ( x ) = 15 x + 7$ And $g ( x ) = x ^ { 2 } - 5 x$