document.write( "Question 1197463: Find inverse of the following function:
\n" ); document.write( "f(x)= (x² + 9)/(x - 5) x≠5
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Algebra.Com's Answer #830748 by MathLover1(20849)\"\" \"About 
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Find inverse of the following function:\r
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\n" ); document.write( "\n" ); document.write( "\"f%28x%29=+%28x%5E2%2B+9%29%2F%28x+-+5%29\" \"x%3C%3E5\"\r
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\n" ); document.write( "\n" ); document.write( "recall that \"f%28x%29=y\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=+%28x%5E2%2B+9%29%2F%28x+-+5%29\" ........swap variables\r
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\n" ); document.write( "\n" ); document.write( "\"x=+%28y%5E2%2B+9%29%2F%28y+-+5%29\"...........solve for \"y\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%28y+-+5%29=+y%5E2%2B+9\"\r
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\n" ); document.write( "\n" ); document.write( "\"xy+-+5x=+y%5E2%2B+9\"\r
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\n" ); document.write( "\n" ); document.write( "\"-5x-9=+y%5E2-xy\"...complete square on right side\r
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\n" ); document.write( "\n" ); document.write( "\"-5x-9=+%28y%5E2-xy%2B%28x%2F2%29%5E2%29-%28x%2F2%29%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"-5x-9=+%28y-x%2F2%29%5E2-x%5E2%2F4\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2F4-5x-9=+%28y-x%2F2%29%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%28%28x%5E2+-+20+x+-+36%29%2F4+%29=+y-x%2F2\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=%281%2F2%29sqrt%28x%5E2+-+20+x+-+36%29%2Bx%2F2\"\r
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\n" ); document.write( "\n" ); document.write( "=> inverse is\r
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\n" ); document.write( "\n" ); document.write( "\"f\"'\"%28x%29=%281%2F2%29%28x%2B-sqrt%28x%5E2+-+20x+-+36%29%29\"\r
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