f(x) = 7x g(x) = 7x + 6

Since g(x) = 7x + 6 = f(x) + 6, the graph of g is the graph of f shifted six units up. A vertical shift moves a function’s horizontal asymptote up by the same amount, so g’s asymptote is f’s asymptote shifted six units up. The domain choices are incorrect because both functions are defined for every real x.

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