Refer to Problem 67.(a) Redefine R from Problem 34 so that the discontinuity at x = 5

Question:

Refer to Problem 67.(a) Redefine R from Problem 34 so that the discontinuity at x = −5 is removed.(b) Redefine R from Problem 36 so that the discontinuity at x = -5/2 is removed.


Data from problem 67


we graphed the rational functionimage and found that the graph has a hole at the pointimageTherefore, the graph of R is discontinuous atimageWe can remove this discontinuity by defining the rational function R using the following piecewise-defined function:image


Data from problem 34


image


Data from problem 36


image

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