How do you find the domain and range of g(x) = ln(x + 4)?

1 Answer
Siyabonga M.
Oct 1, 2017

The domain is x > -4 .

Explanation:

g(x) is a really the function ln(x) shifted 4 units to the left. The domain for the function ln(x) is x>0. Note that the function ln(x) does not exist where x = 0, that is, at x=0 there is a vertical asymptote of the function.

When shifting the function 4 units left, the asymptote shifts from x=0 to x=-4 . As a result, the function, g(x), is defined where x > -4 - and this is the domain.

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