Let $f ( x ) = 2 x - 1 , g ( x ) = 3 x - 2$. Find the domain of the function.
$$( f - g ) ( x )$$
A) $\quad ( - \infty , 0 )$
B) $\quad ( - \infty , 0 ]$
C) $( - \infty , \infty )$
D) $\quad ( 0 , \infty )$
E) $\quad [ 0 , \infty )$

Question

Quizplus · Accepted Answer

The domain of $f(x) = 2x - 1$ and $g(x) = 3x - 2$ is all real numbers, $(-\infty, \infty)$, because there are no restrictions (like division by zero or square roots of negative numbers) in either function. When subtracting these two functions, $(f - g)(x)$, the domain remains all real numbers.

Let f(x)=2x−1,g(x)=3x−2f ( x ) = 2 x - 1 , g ( x ) = 3 x - 2f(x)=2x−1,g(x)=3x−2

Let $f ( x ) = 2 x - 1 , g ( x ) = 3 x - 2$