Question 37 Given functions $f$ and $g$, determine the domain of $f+g$. \[ f(x)=3 x-4, \quad g(x)=5 x+3 \] $(-$ (A),-3$)$ or $(-3$ ) (0) (8) (C) $0)$ or $(0$ ) $(-$ (D) $\infty$ )

Step 1 ：Given functions $f(x)=3x-4$ and $g(x)=5x+3$

Step 2 ：To find the domain of $f+g$, we need to find the intersection of their individual domains.

Step 3 ：Since both functions are linear, their domains are all real numbers.

Step 4 ：Thus, the domain of $f+g$ is also all real numbers.

Step 5 ：\(\boxed{(-\infty, \infty)}\)