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f(x) = 7x

g(x) = 7x + 6

Which statement about f(x) and its translation, g(x), is true?

The domain of g(x) is {x | x > 6}, and the domain of f(x) is {x | x > 0}.
The domain of g(x) is {y | y > 0}, and the domain of f(x) is {y | y > 6}.
The asymptote of g(x) is the asymptote of f(x) shifted six units down.
The asymptote of g(x) is the asymptote of f(x) shifted six units up.

Answer :

adioabiola

The statement which is true about the translation is; The asymptote of g(x) is the asymptote of f(x) shifted six units down.

Which statement is true about the translation?

Since it follows from the task content that the function g(x) represents a 6 units vertical shift downward, it can then be concluded in the same regard that The asymptote of g(x) is the asymptote of f(x) shifted six units down.

Therefore, the true statement is; the asymptote of g(x) is the asymptote of f(x) shifted six units down.

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