Question

How do you find the Domain of the function `f(x) = 1/(2-e^x)`?

Answer 1

`f(x) = 1/(2-e^x)`
is defined for all Real values of `x` except when `2 = e^x`

If `e^x = 2`
then
`ln(e^x) = ln(2)`
`x = ln(2)`

So the given function `f(x)` has a Domain of all Real numbers except
`ln(2)`