In Exercises 21–36, find the vertical asymptotes, if any, and the...

Question

In Exercises 21–36, find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the graph of each rational function. f(x)=x/(x+4)

Accepted Answer

consider the given Rachael function and finding vertical asientos advice X corresponding to Holtz where our equation is X over X plus seven. Now to find a vertical hole, we want to see if there's a discontinuity in our function. Normally with the discontinuity we will take our denominator. Set it equal to zero and solve for X. However, we want to check to see if there's also a hole in this rational function because that way it just gives us a vertical asking to to determine if there's a hole in our function. We have to determine if we have common factors. So if we have a factor in the numerator that's the same as a factor and the denominator we will have a whole well if we look here we actually have no common factors because we have excellent top and X 47 on the bottom because there are no common factors. We have no holes. Now I can proceed and check to see what our vertical ascent it is to find a vertical ascent. Oh we're gonna set our denominator equal to zero. Like usual take our denominator, X plus seven. Set it equal to zero, solving for X. We get X equals negative set this is our vertical asset toe, which means We have X. Number seven. Our answer is answer be okay. I hope to help you solve the problem. Thank you for watching. Goodbye

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In Exercises 21–36, find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the graph of each rational function. f(x)=x/(x+4)

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