Question

What is the domain of this function?

F(x) = 7/(6+ln(7x))

In interval notation?

Answer 1

well you can't take the log of a negative number or zero ... so x > 0

just work out the interval notation

Answer 2

but you also need to consider that

\[6 + \ln(7x) \neq 0\]

so this may help to find the domain

so

\[\ln (7x) = -6\]

then

\[7x = e^{-6}\]

\[x = \frac{e^{-6}}{7} \]

so that looks like the lower limit of the interval...

Answer 3

Yeah, solved the denominator for zero and knew that limit, but forgot about it not being less than zero. Thanks!