$f ( x ) = x + 2 ; g ( x ) = 8 x ^ { 2 }$
Find (f - g)(x)
A) $( f - g ) ( x ) = 8 x ^ { 2 } - x - 2$
B) $( f - g ) ( x ) = 8 x ^ { 2 } + x + 2$
C) $( f - g ) ( x ) = - 8 x ^ { 2 } + x + 2$
D) $( f - g ) ( x ) = - 8 x ^ { 2 } - x + 2$

Question

$f ( x ) = x + 2 ; g ( x ) = 8 x ^ { 2 }$
Find  (f - g)(x) 
A) $( f - g ) ( x ) = 8 x ^ { 2 } - x - 2$
B) $( f - g ) ( x ) = 8 x ^ { 2 } + x + 2$
C) $( f - g ) ( x ) = - 8 x ^ { 2 } + x + 2$
D) $( f - g ) ( x ) = - 8 x ^ { 2 } - x + 2$

Quizplus · Accepted Answer

$(f - g)(x) = (x + 2) - (8x^2) = -8x^2 + x + 2$, which matches choice C.

f(x)=x+2;g(x)=8x2f ( x ) = x + 2 ; g ( x ) = 8 x ^ { 2 }f(x)=x+2;g(x)=8x2

$f ( x ) = x + 2 ; g ( x ) = 8 x ^ { 2 }$