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 a function is the set of all possible values of x for which the function is defined. Since both functions f(x) and g(x) are defined for all real numbers, their combination (f+g)(x)=f(x)+g(x)=2x-1+3x-2=5x-3 is also defined for all real numbers. Therefore, the domain of the function is (-∞, ∞). Choice A represents this domain.

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

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