document.write( "Question 1009988: Find the inverse of f(x), where f(x)= $\"x%5E2%2B4x%2B3\"$ \n" ); document.write( "

Algebra.Com's Answer #625474 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "Find the inverse of $\"f%28x%29\"$ , where $\"f%28x%29=x%5E2%2B4x%2B3\"$ \r
\n" ); document.write( "\n" ); document.write( "recall $\"f%28x%29=y\"$ , so you have\r
\n" ); document.write( "\n" ); document.write( " $\"y=x%5E2%2B4x%2B3\"$ ........swap $\"x\"$ and $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=y%5E2%2B4y%2B3\"$ .............solve for $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=%28y%5E2%2B4y%2Bb%5E2%29-b%5E2%2B3\"$ ..............complete square\r
\n" ); document.write( "\n" ); document.write( " $\"x=%28y%5E2%2B4y%2B2%5E2%29-2%5E2%2B3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=%28y%2B2%29%5E2-4%2B3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=%28y%2B2%29%5E2-1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%2B1=%28y%2B2%29%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"sqrt%28x%2B1%29=y%2B2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=sqrt%28x%2B1%29-2\"$ \r
\n" ); document.write( "\n" ); document.write( "so, your inverse is\r
\n" ); document.write( "\n" ); document.write( " $\"f%5E-1%28x%29=%28-2%2B-+sqrt%28x%2B1%29%29\"$ \r
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