document.write( "Question 1006927: Let $\"h%28x%29=+2%2F%283x%2B2%29\"$ and let $\"g%28x%29=+%282-2x%29%2F3x\"$ . Show that these two functions are inverses. \n" ); document.write( "

Algebra.Com's Answer #622984 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Switch to x-y format using h(x) as the function.
\n" ); document.write( " $\"y=2%2F%283x%2B2%29\"$
\n" ); document.write( "Interchange x and y and solve for the new y.
\n" ); document.write( " $\"x=2%2F%283y%2B2%29\"$
\n" ); document.write( " $\"x%283y%2B2%29=2\"$
\n" ); document.write( " $\"3xy%2B2x=2\"$
\n" ); document.write( " $\"3xy=2-2x\"$
\n" ); document.write( " $\"y=%282-2x%29%2F3x\"$
\n" ); document.write( "This new y is the inverse of the original y.
\n" ); document.write( "Since it equals g, then f and g are inverses. \n" ); document.write( "

\n" );