Respuesta :

Answer:

The y-intercept of the function is (0, -2)

Explanations:

Given the function

[tex]f(x)=\frac{2x+4}{x-2}[/tex]

The y-intercept of a function or graph is the point where the line or curve cuts the y axis or the point where x = 0.

Substitute x = 0 into the function to have:

[tex]\begin{gathered} f(0)=\frac{2(0)+4}{0-2} \\ f(0)=\frac{4}{-2} \\ f(0)=-2 \end{gathered}[/tex]

Hence the y-intercept of the function is (0, -2)