SOLUTION: describe the discontinuities of f(x)=x^2+x-6/x^2-5x+6 find an equivalent form for f that shows how the graph of f is related to the graph of y= 1/x describe the relationship

Question 1038673: describe the discontinuities of f(x)=x^2+x-6/x^2-5x+6
find an equivalent form for f that shows how the graph of f is related to the graph of y= 1/x
describe the relationship
(no graph needed)
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!

There is a removable discontinuity at x = 2 (a "hole"), while there is an infinite discontinuity at x = 3. The graph of f(x) is obtained from y = 1/x by horizontal translation of 3 units to the right, followed by a vertical stretching by a factor of 6, and then a vertical translation by 1 unit, and finally "puncturing" the resulting graph at the point (2,-5).
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