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I want to find the domain of a Moment Generating Function of random variable k following a Bernoulli distribution.

This means that:\begin{equation} f(k;p) = \left\{ \begin{array}{cc} p & \mathrm{if\ } k=1 \\ 1-p & \mathrm{if\ } k=0 \\ \end{array} \right. \end{equation}The Moment Generating Function for this function f is:$M_{X}(t) = (1-p + pe^t)^n$

I know that function f should not get below zero, because a chance can not get smaller than zero. But how can I calculate the domain of the $M_{X}(t)$ with that knowledge.

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