Given functions f and g, perform the indicated operations.
-Find the domain of $( f - g ) ( x )$ when $f ( x ) = 3 x - 7$ and $g ( x ) = 8 x - 8$.
A) Domain: $( - \infty , \infty )$
B) Domain: $( - 7,3 )$
C) Domain: $( - 3,7 )$
D) Domain: $( - 7 , \infty )$

Question

Quizplus · Accepted Answer

The domain of both $f(x) = 3x - 7$ and $g(x) = 8x - 8$ is all real numbers, $(-\infty, \infty)$, since there are no restrictions like division by zero or square roots of negative numbers. Therefore, the domain of their difference, $(f - g)(x)$, is also all real numbers.

Given Functions F and G, Perform the Indicated Operations (f−g)(x)( f - g ) ( x )(f−g)(x)

Given Functions F and G, Perform the Indicated Operations $( f - g ) ( x )$