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

Question

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

Quizplus · Accepted Answer

The domain of both $f(x) = 2x - 1$ and $g(x) = 3x - 2$ is all real numbers, $(-\infty, \infty)$, because there are no restrictions on $x$ for either function. When adding these two functions together, there are still no restrictions on $x$, so the domain of $(f + g)(x)$ remains all real numbers, $(-\infty, \infty)$.

Let F (X) = 2x - 1, G(x) = 3x (f+g)(x)( f + g ) ( x )(f+g)(x)

Let F (X) = 2x - 1, G(x) = 3x $( f + g ) ( x )$