We can see that g(x) is a translation of 4 units to the left of f(x), then:
g(x) = log₃(x + 4).
How to get the equation that represents g(x)?
Here we can see that g(x) is a shift of f(x). Is clear that the asymptote of g(x) is 4 units to the left of the asymptote of f(x), so we can say that g(x) is a shift of 4 units to the left of f(x).
Remember that for a given function f(x), an horizontal shift of N units is given by:
g(x) = f(x + N).
- If N is positive, the shift is to the left.
- If N is positive, the shift is to the right.
Then a shift of 4 units to the left is written as:
g(x) = log₃(x + 4).
Then the correct option is the last one.
If you want to learn more about translations:
https://brainly.com/question/24850937
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