document.write( "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) \n" ); document.write( "

Algebra.Com's Answer #165037 by stanbon(75887) $\"\"$ $\"About$

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What is the domain of the problems
\n" ); document.write( "g(t) = sin(e to the negative t power)
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\n" ); document.write( "g(t) = sin(e^-t)
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\n" ); document.write( "Comment: That doesn't look right. Are you sure that is the problem?
\n" ); document.write( "If that is right, the domain is \"All Real Numbers\".
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\n" ); document.write( "Domain of g(t)= the square root of (1-2 to the t power)
\n" ); document.write( "g(t) = sqrt[1 - 2^t]
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\n" ); document.write( "1-2^t must be >= 0
\n" ); document.write( "2^t <= 1
\n" ); document.write( "t*log(2) <= log1
\n" ); document.write( "t <= 0/log(2)
\n" ); document.write( "t <= 0
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\n" ); document.write( "So the domain is \"All Real Numbers <= 0
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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