document.write( "Question 976198: f(x) = (x+3)/(x+6) \r
\n" ); document.write( "\n" ); document.write( " f^(-1)(-1) = \n" ); document.write( "

Algebra.Com's Answer #597840 by MathLover1(20849) $\"\"$ $\"About$

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if $\"f%28x%29+=+%28x%2B3%29%2F%28x%2B6%29\"$ , to find $\"f%5E%28-1%29%28-1%29\"$ first find f(x) = \r
\n" ); document.write( "\n" ); document.write( " $\"f%5E%28-1%29%28x%29\"$ \r
\n" ); document.write( "\n" ); document.write( "since $\"f%28x%29=y\"$ , we have\r
\n" ); document.write( "\n" ); document.write( " $\"y+=+%28x%2B3%29%2F%28x%2B6%29\"$ ....swap $\"x\"$ and $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x+=+%28y%2B3%29%2F%28y%2B6%29\"$ .......solve for $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%28y%2B6%29+=+%28y%2B3%29\"$
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\n" ); document.write( "\n" ); document.write( " $\"xy%2B6x+=+y%2B3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"xy-y+=+-6x%2B3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x-1%29y+=+-3%282x-1%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y+=+-3%282x-1%29%2F%28x-1%29\"$ \r
\n" ); document.write( "\n" ); document.write( "so, $\"f%5E%28-1%29%28x%29=-3%282x-1%29%2F%28x-1%29\"$ \r
\n" ); document.write( "\n" ); document.write( "now find $\"f%5E%28-1%29%28-1%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%5E%28-1%29%28-1%29=-3%282%28-1%29-1%29%2F%28-1-1%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%5E%28-1%29%28-1%29=-3%28-2-1%29%2F%28-2%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%5E%28-1%29%28-1%29=-3%28-3%29%2F%28-2%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%5E%28-1%29%28-1%29=9%2F%28-2%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%5E%28-1%29%28-1%29=-9%2F2\"$ \r
\n" ); document.write( "\n" ); document.write( "or, as decimal\r
\n" ); document.write( "\n" ); document.write( " $\"f%5E%28-1%29%28-1%29=-4.5\"$ \r
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