document.write( "Question 1187566: https://ibb.co/VHjmjtW \n" ); document.write( "

Algebra.Com's Answer #818575 by MathLover1(20855) $\"\"$ $\"About$

You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=5x%2B4\"$ \r
\n" ); document.write( "\n" ); document.write( "inverse:\r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=5x%2B4\"$ ...............swap variables\r
\n" ); document.write( "\n" ); document.write( " $\"x=5y%2B4\"$ ...........solve for $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x-4=5y\"$
\n" ); document.write( " $\"y=%28x-4%29%2F5\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%5E-1%28x%29=%28x-4%29%2F5\"$ \r
\n" ); document.write( "\n" ); document.write( "verify that $\"f%28f%5E-1%28x%29%29=x\"$ and $\"f%5E-1%28f%28x%29%29=x\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"f%28f%5E-1%28x%29%29=f%28%28x-4%29%2F5%29\"$
\n" ); document.write( "= $\"5%28%28x-4%29%2F5%29%2B4\"$ .....simplify
\n" ); document.write( "= $\"x-4%2B4\"$
\n" ); document.write( "= $\"x\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"f%5E-1%28f%28x%29%29=f%5E-1%285x%2B4%29\"$ \r
\n" ); document.write( "\n" ); document.write( "= $\"%285x%2B4-4%29%2F5+\"$
\n" ); document.write( "= $\"%285x%29%2F5+\"$
\n" ); document.write( "= $\"x\"$
\n" ); document.write( " \n" ); document.write( "

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