Log Domain E8422F

1. The problem asks for the domain of the logarithmic function defined by the set $$\{ x \mid x > -4 \}$$. 2. Recall that the domain of a logarithmic function $$\log_b(x - h)$$ is all $$x$$ values such that the argument $$x - h > 0$$. 3. Here, the vertical asymptote is at $$x = -4$$, which means the argument inside the logarithm is zero at $$x = -4$$. 4. Therefore, the domain is all $$x$$ values greater than $$-4$$, written as $$\{ x \mid x > -4 \}$$. 5. This matches the given domain, confirming the function is defined for $$x > -4$$ only. Final answer: The domain is $$\boxed{\{ x \mid x > -4 \}}$$.