For the given functions f and g, find the requested function and state its domain. Write the domain in interval notation.
-$f ( x ) = x - 8 ; g ( x ) = 7 x ^ { 2 } ; \quad$ Find $f - g$.
A) $( f - g ) ( x ) = - 7 x ^ { 2 } + x - 8 ; ( \infty , \infty )$
B) $( f - g ) ( x ) = 7 x ^ { 2 } - x + 8 ; ( \infty , \infty )$
C) $( f - g ) ( x ) = 7 x ^ { 2 } + x - 8 ; ( \infty , \infty )$
D) $( f - g ) ( x ) = - 7 x ^ { 2 } + x - 8 ; ( \infty , 8 ) \cup ( 8 , \infty )$

Question

Quizplus · Accepted Answer

The function $f - g$ is found by subtracting $g(x)$ from $f(x)$, resulting in $-7x^2 + x - 8$. The domain of this polynomial function is all real numbers, represented as $(-\infty, \infty)$.

For the Given Functions F and G, Find the Requested f(x)=x−8;g(x)=7x2;f ( x ) = x - 8 ; g ( x ) = 7 x ^ { 2 } ; \quadf(x)=x−8;g(x)=7x2;

For the Given Functions F and G, Find the Requested $f ( x ) = x - 8 ; g ( x ) = 7 x ^ { 2 } ; \quad$