document.write( "Question 769008: Find the domain of the composition function f o g\r
\n" );
document.write( "\n" );
document.write( "F(x) = 1/ x-9 ; g(x) = 1/x
\n" );
document.write( " \r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #468616 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Find the domain of the composition function f o g \n" ); document.write( "F(x) = 1/ x-9 ; g(x) = 1/x \n" ); document.write( "---------------------------- \n" ); document.write( "fog(x) = f[g(x)] = f[1/x] = 1/[(1/x)-9] = 1/[(1-9x)/x] = x/(1-9x) \n" ); document.write( "-------- \n" ); document.write( "Domain::: ?? \n" ); document.write( "The dinominator cannot be zero. \n" ); document.write( "Solve 1-9x = 0 \n" ); document.write( "9x = 1 \n" ); document.write( "x = 1/9 \n" ); document.write( "--------- \n" ); document.write( "Domain is \"All Real Numbers except x = 1/9\" \n" ); document.write( "===================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=================== \n" ); document.write( " |