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