For the given functions f(x) and g(x), perform the indicated operation.
-$$f ( x ) = 5 x ^ { 3 } - 7 x ^ { 2 } + 3 x - 11 , g ( x ) = x ^ { 3 } + 12 x ^ { 2 } - 7$$
Find $f ( x ) - g ( x )$.
A) $4 x ^ { 3 } - 19 x ^ { 2 } + 3 x - 4$
B) $4 x ^ { 3 } - 19 x ^ { 2 } - 3 x + 4$
C) $6 x ^ { 3 } - 5 x ^ { 2 } + 3 x - 4$
D) $4 x ^ { 3 } + 19 x ^ { 2 } + 3 x + 4$

Question

Quizplus · Accepted Answer

To find $f(x) - g(x)$, subtract each corresponding term in $g(x)$ from $f(x)$: $5x^3 - x^3 = 4x^3$, $-7x^2 - 12x^2 = -19x^2$, $3x - 0 = 3x$, and $-11 - (-7) = -4$.

For the Given Functions F(x) and G(x), Perform the Indicated f(x)=5x3−7x2+3x−11,g(x)=x3+12x2−7f ( x ) = 5 x ^ { 3 } - 7 x ^ { 2 } + 3 x - 11 , g ( x ) = x ^ { 3 } + 12 x ^ { 2 } - 7f(x)=5x3−7x2+3x−11,g(x)=x3+12x2−7

For the Given Functions F(x) and G(x), Perform the Indicated $f ( x ) = 5 x ^ { 3 } - 7 x ^ { 2 } + 3 x - 11 , g ( x ) = x ^ { 3 } + 12 x ^ { 2 } - 7$