document.write( "Question 1044096: If \"f%28x%29+=+5x\" and \"g%28x%29=2x%5E2-1\"\r
\n" ); document.write( "\n" ); document.write( "How would you set up:
\n" ); document.write( "\"%28fog%29%28x%29\" Would it be: \"%28f%29%28x%29%2A%28g%29%28x%29+=+%285x%29%282x%5E2-1%29\"\r
\n" ); document.write( "\n" ); document.write( "\"%28gof%29%28x%29\" Would it be \"%28g%29%28x%29%2A+%28f%29%28x%29=+2x%5E2-1+%2A+5x\"\r
\n" ); document.write( "\n" ); document.write( "\"g%5E-1%28x%29\" ? \r
\n" ); document.write( "\n" ); document.write( "\"f%5E-1%28x%29\" ?\r
\n" ); document.write( "\n" ); document.write( "I greatly appreciate all of your help and advice
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Algebra.Com's Answer #659343 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
If \"f%28x%29+=+5x\" and \"g%28x%29=2x%5E2-1\"\r
\n" ); document.write( "\n" ); document.write( "How would you set up:
\n" ); document.write( "\"%28fog%29%28x%29\"=>
\n" ); document.write( "\"%28f%29%28x%29%2A%28g%29%28x%29+=+%285x%29%282x%5E2-1%29=10x%5E3-5x\"\r
\n" ); document.write( "\n" ); document.write( "\"%28gof%29%28x%29\" \r
\n" ); document.write( "\n" ); document.write( " \"%28gof%29%28x%29=g%28f%28x%29%29=+2%285x%29%5E2-1=2%2A25x%5E2-1=50x%5E2-1\"\r
\n" ); document.write( "\n" ); document.write( "\"g%5E-1%28x%29\"
\n" ); document.write( "recall that
\n" ); document.write( "\"g%28x%29=y\"
\n" ); document.write( "\"y=2x%5E2-1\"...to find inverse, switch \"x\" and \"y\" first\r
\n" ); document.write( "\n" ); document.write( "\"x=2y%5E2-1\"..........solve for \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"x%2B1=2y%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x%2B1%29%2F2=y%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=sqrt%28%28x%2B1%29%2F2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"y=sqrt%28%28x%2B1%29%29%2Fsqrt%282%29\"\r
\n" ); document.write( "\n" ); document.write( "so, \"g%5E-1%28x%29=sqrt%28%28x%2B1%29%29%2Fsqrt%282%29\" or \"g%5E-1%28x%29=-sqrt%28%28x%2B1%29%29%2Fsqrt%282%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"f%5E-1%28x%29\" ?\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29+=+5x\"
\n" ); document.write( "\"y=5x\"
\n" ); document.write( "\"x=5y\"\r
\n" ); document.write( "\n" ); document.write( "\"y=x%2F5\"=>\"f%5E-1%28x%29=x%2F5\"\r
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