document.write( "Question 37290: find the domain of the given functions:
\n" ); document.write( "1) f(x)=ln(x-3)
\n" ); document.write( "2) f(x)=(1/4)ln x \n" ); document.write( "

Algebra.Com's Answer #23009 by fractalier(6550) $\"\"$ $\"About$

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Domain means \"all allowable values of x.\" For
\n" ); document.write( "f(x) = ln(x - 3)
\n" ); document.write( "we know that we cannot take the log of non-positive numbers. Thus the argument of the log function must be greater than zero.
\n" ); document.write( "So x - 3 > 0 and x > 3
\n" ); document.write( "Thus the domain is the set of all x such that x is greater than 3, or
\n" ); document.write( "{x: x > 3}
\n" ); document.write( "Now for
\n" ); document.write( "f(x) = (1/4)ln x
\n" ); document.write( "we simply know x must be greater than zero, and
\n" ); document.write( "{x: x > 0} \n" ); document.write( "

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