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 function and found that the graph has a hole at the pointTherefore, the graph of R is discontinuous atWe can remove this discontinuity by defining the rational function R using the following piecewise-defined function:

Data from problem 34

Data from problem 36

R(x) = 2x - 5x + 2 x2 x - 4