What is the domain of (-2e^t)/(1-2e^t) ?

The domain of (-2e^t)/(1-2e^t) is t -ln(2)

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domain of (-2e^t)/(1-2e^t)

domain

\frac{- 2 e ^{t}}{1 - 2 e ^{t}}

t < - ln (2) or t > - ln (2)

Interval Notation

(- \infty, - ln (2)) \cup (- ln (2), \infty)

Solution steps

Find undefined (singularity) points:

t = - ln (2)

The function domain

t < - ln (2) or t > - ln (2)

f (x) = \frac{x - 1}{x - 5}

f (x) = - \frac{8}{27} x^{3}

f (x) = x^{2} - 9

\frac{4 x}{x ^{2} + 1}

What is the domain of (-2e^t)/(1-2e^t) ?
The domain of (-2e^t)/(1-2e^t) is t<-ln(2)\lor t>-ln(2)