Question

f(x)=2x^2+x-3 and g(x)=x-1. Find (g/f)(x) and state its domain

Answer 1

$$\bf
f(x)=2x^2+x-3\\
g(x)=x-1\\
\cfrac{g}{f}(x) \implies \cfrac{g(x)}{f(x)}
\implies \cfrac{x-1}{2x^2+x-3}
$$