Okay, here we have this:
Considering the provided rational function, we are going to calculate the requested y intercept, so we obtain the following:
Let us remember that the y-intercept corresponds to the value that the function takes when x is equal to 0, so we have:
[tex]\begin{gathered} f(x)=\frac{x+2}{(x+2)(x-6)} \\ f(x)=\frac{1}{x-6} \\ f(0)=\frac{1}{0-6} \\ f(0)=\frac{1}{-6} \\ f(0)=-\frac{1}{6} \end{gathered}[/tex]
Finally we obtain that the y-intercept is equal to -1/6.
