Respuesta :

Answer:[tex](-1,\text{ }\infty)[/tex]

Infinite discontinuity

Explanations:

The given equation is:

[tex]y\text{ = }\frac{2x}{x+1}[/tex]

The function will be undefined at the point x + 1 = 0

x = -1

This means that x = -1 is a point of discontinuity

Substituting x = -1 into the equation:

[tex]\begin{gathered} y\text{ = }\frac{2(-1)}{-1+1} \\ y\text{ = }\frac{-2}{0} \\ y\text{ = }\infty \end{gathered}[/tex]

This is an infinite discontinuity