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

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Answer 1 · 2015-04-07T18:29:09

$f(x) = 1/(2-e^x)$
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
$ln(2)$

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