document.write( "Question 831316: what is the inverse of f(x)= 3/x+1 and show that they check out? \n" ); document.write( "

Algebra.Com's Answer #501235 by josgarithmetic(39625) $\"\"$ $\"About$

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Let g(x) be the inverse of f(x).\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"3%2Fg%28x%29%2B1=x\"$
\n" ); document.write( " $\"3%2Fg%28x%29=x-1\"$
\n" ); document.write( " $\"g%28x%29%2F3=1%2F%28x-1%29\"$
\n" ); document.write( " $\"g%28x%29=3%2F%28x-1%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Check:
\n" ); document.write( " $\"f%28g%28x%29%29=3%2F%283%2F%28x-1%29%29%2B1=3%28%28x-1%29%2F3%29%2B1\"$
\n" ); document.write( " $\"x-1%2B1\"$
\n" ); document.write( " $\"x\"$
\n" ); document.write( "Yes. \n" ); document.write( "

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