Question

find the domain of the function.
h(x)=\ln(x + 5)
the domain of h is
(type your answer in interval notation.)

Explanation:

Step1: Recall the domain of the natural logarithm function

The domain of \(y = \ln(u)\) is \(u>0\). For \(h(x)=\ln(x + 5)\), we set \(u=x + 5\).

Step2: Solve the inequality

We solve the inequality \(x+5>0\). Subtract 5 from both sides: \(x>- 5\).

Answer:

\((-5,\infty)\)