# Thread: Dividing through by functions

1. ## Dividing through by functions

To divide through by a function, is it required that the function being divided by is never 0?
$f(x)g(x) - f(x)h(x) = 0 \Rightarrow g(x) - h(x) = 0\ iff \ f(x) \neq 0$

2. Originally Posted by mrmango
To divide through by a function, is it required that the function being divided by is never 0?
$f(x)g(x) - f(x)h(x) = 0 \Rightarrow g(x) - h(x) = 0\ iff \ f(x) \neq 0$
Iff $f(x)\neq 0\;\forall x\in \textrm{Dom}(f)$ .

Regards.

Fernando Revilla