document.write( "Question 108376: I need to find the domain to: g(x)=log(x+3) and g(t)=ln(t-1). I am so confused \n" ); document.write( "

Algebra.Com's Answer #79014 by Fombitz(32388) $\"\"$ $\"About$

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The domain of the function is all values of x where the function is defined.
\n" ); document.write( "In other words, look for where the function is undefined and the answer is everywhere other than that.
\n" ); document.write( "First one: $\"g%28x%29=log%28%28x%2B3%29%29\"$
\n" ); document.write( "The log function is only defined when the argument is >0.
\n" ); document.write( " $\"x%2B3%3E0\"$
\n" ); document.write( " $\"x%3E-3\"$
\n" ); document.write( "The domain of g(x) is all x such that x>-3.
\n" ); document.write( "Second case : $\"g%28t%29=ln%28t-1%29\"$
\n" ); document.write( "Similarly, the natural log is only defined when the argument is >0.
\n" ); document.write( " $\"t-1%3E0\"$
\n" ); document.write( " $\"t%3E1\"$
\n" ); document.write( "The domain of g(t) is all t such that t>1. \n" ); document.write( "

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