Question

I just want to know if my answers are right please

Answer 1

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:

`\begin{gathered} f(x)=(x+2)/((x+2)(x-6)) \\ f(x)=(1)/(x-6) \\ f(0)=(1)/(0-6) \\ f(0)=(1)/(-6) \\ f(0)=-(1)/(6) \end{gathered}`

Finally we obtain that the y-intercept is equal to -1/6.