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Answer:
D. g(x) = 1/(x -2) +7
Step-by-step explanation:
The transformation ...
g(x) = f(x -h) +k
causes the graph to be translated h units right and k units up. Here, we have h=2 and k=7, and we have f(x) = 1/x. Then the function g(x) is ...
g(x) = 1/(x -2) +7 . . . . matches D
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In the attached graph, the points of tangency are shown. This lets you see the point is appropriately translated.
