SOLUTION: What is the domain of the problems g(t) = sin(e to the negative t power) and the domain of g(t)= the square root of (1-2 to the t power)

Question 219467: What is the domain of the problems g(t) = sin(e to the negative t power) and the domain of g(t)= the square root of (1-2 to the t power)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
What is the domain of the problems
g(t) = sin(e to the negative t power)
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g(t) = sin(e^-t)
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Comment: That doesn't look right. Are you sure that is the problem?
If that is right, the domain is "All Real Numbers".
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Domain of g(t)= the square root of (1-2 to the t power)
g(t) = sqrt[1 - 2^t]
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1-2^t must be >= 0
2^t <= 1
t*log(2) <= log1
t <= 0/log(2)
t <= 0
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So the domain is "All Real Numbers <= 0
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Cheers,
Stan H.
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