document.write( "Question 1187800: https://ibb.co/vqFKWK4 \n" ); document.write( "

Algebra.Com's Answer #818813 by MathLover1(20855) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%28x-7%29%2F4\"$ \r
\n" ); document.write( "\n" ); document.write( "find
\n" ); document.write( " $\"f%5E-1%28x%29\"$ =\r
\n" ); document.write( "\n" ); document.write( "recall that $\"f%28x%29=y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=%28x-7%29%2F4\"$ ........swap variables\r
\n" ); document.write( "\n" ); document.write( " $\"x=%28y-7%29%2F4\"$ ...........solve for $\"+y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"4x=y-7\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"4x%2B7=y+\"$ \r
\n" ); document.write( "\n" ); document.write( "so,\r
\n" ); document.write( "\n" ); document.write( " $\"f%5E-1%28x%29=4x%2B7\"$ \r
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\n" ); document.write( "\n" ); document.write( "verify\r
\n" ); document.write( "\n" ); document.write( " $\"f%28f%5E-1%28x%29%29=x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28f%5E-1%28x%29%29=f%284x%2B7%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28f%5E-1%28x%29%29=+%28%284x%2B7%29-7%29%2F4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28f%5E-1%28x%29%29=+%284x%2B7-7%29%2F4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28f%5E-1%28x%29%29=+%284x%29%2F4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28f%5E-1%28x%29%29=+x\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "verify\r
\n" ); document.write( "\n" ); document.write( " $\"f%5E-1%28f%28x%29%29=x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%5E-1%28f%28x%29%29=f%5E-1%28%28x-7%29%2F4%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%5E-1%28f%28x%29%29=4%28%28x-7%29%2F4%29%2B7\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%5E-1%28f%28x%29%29=x-7%2B7\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%5E-1%28f%28x%29%29=x+\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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