Question

Let f(x)=3x+5 and g(x) =x^2 find g(x)/f(x) and state its domain

Answer 1

`\text{Let}\ f(x)=3x+5\ \text{and}\ g(x)=x^2\\\\(f(x))/(g(x))=(3x+5)/(x^2)\\\\\text{The domain:}\\\\x^2\\eq0\to x\\eq0\\\\Answer:\ \boxed{x\in\mathbb{R}-\{0\}}\to\boxed{x\in(-\infty,\ 0)\ \cup\ (0,\ \infty)}\\\\\text{All real numbers except 0.}`