use the given function f to answer parts (a) through (f). f(x)= -6 + ln x (a) find the domain of f. the…

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:

$(0,\infty)$