Respuesta :

Inverse variation means y = k/x, right? Your question is why can't x = 0. Answer - you're not allowed to divide by 0.

Zero cannot be in the domain of an inverse variation [tex]\boldsymbol{y=\frac{k}{x}}[/tex] as  [tex]\frac{k}{0}[/tex] is undefined.

The domain of a function is the set of inputs accepted by the function.

An inverse variation is a mathematical relationship between two variables which can be expressed by an equation in which the product of two variables is equal to a constant.

Inverse variation means [tex]\boldsymbol{y=\frac{k}{x}}[/tex]

Here, [tex]\frac{k}{0}[/tex] is not defined.

So, zero cannot be in the domain of an inverse variation.

For more information:

https://brainly.com/question/16875632?referrer=searchResults