document.write( "Question 1084918: For the function g(x)=-1+log of (x-5) to the base 2.
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Algebra.Com's Answer #698952 by Edwin McCravy(20063) $\"\"$ $\"About$

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document.write( "Replace g(x) by y\r\n" );
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document.write( "Interchange x and y\r\n" );
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document.write( "Solve for y\r\n" );
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document.write( "Add 1 to both sides\r\n" );
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document.write( "Use the definition of a logarithm:\r\n" );
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document.write( "Add 5 to both sides:\r\n" );
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document.write( "Replace y by g^-1(x)\r\n" );
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document.write( "The red graph is of g(x), the blue graph is of g^-1(x).\r\n" );
document.write( "The green lines are the asymptotes.  The asymptote for  \r\n" );
document.write( "g(x) has equation x=5. The asymptote for g^-1(x) has \r\n" );
document.write( "equation y=5.  The faint blue dotted line is the graph \r\n" );
document.write( "of the identity function y=x.  The graph of the inverse \r\n" );
document.write( "of any function is the reflection of its graph across \r\n" );
document.write( "this identity line y=x.\r\n" );
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document.write( "Edwin

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