SOLUTION: Find the domain of the function: {{{g(t)=sqrt(1-2^t)}}}

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Question 264447: Find the domain of the function: g%28t%29=sqrt%281-2%5Et%29
Found 2 solutions by vksarvepalli, drk:
Answer by vksarvepalli(154) About Me  (Show Source):
You can put this solution on YOUR website!
g%28t%29=sqrt%281-2%5Et%29
so 2%5Et+%3C=+1
so t belongs to (-infinity, o]
so the domain is (-infinity, o]

Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
2^t is an exponential function with a horizontal asymptote at 0. Its domain is t is all reals.
Since it is always positive, there exist values of t that don't work.
If t = 0, then g(t) = 0
if t > 0 , then g(t) will be no solution.
The domain of the function is then
t <= 0.