use the given function f to answer parts (a) ...
use the given function f to answer parts (a) through (f). f(x)= -6 + ln x (a) find the domain of f. the domain of f is . (type your answer in interval notation.)
Answer
# Explanation:
## Step1: Recall domain of natural - log
The natural logarithm function $\ln(x)$ is defined for $x>0$.
## Step2: Determine domain of given function
For $f(x)=-6 + \ln(x)$, the domain is determined by the domain of $\ln(x)$. Since $\ln(x)$ requires $x > 0$, the domain of $f(x)$ is also $x>0$.
# Answer:
$(0,\infty)$