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

1 Answer
Oct 1, 2017

Answer:

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.