document.write( "Question 1165631: g={(-6,5),(1,-7),(5,-4),(8,-8)}
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Algebra.Com's Answer #824972 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "The topic of inverse functions is all about \r\n" );
document.write( "interchanging x-coordinates and y-coordinates.\r\n" );
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document.write( "g={(-6,5),(1,-7),(5,-4),(8,-8)}\r\n" );
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document.write( "Find:\r\n" );
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document.write( "g-1(5)=\r\n" );
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document.write( "To find g-1, just swap the coordinates of each point:\r\n" );
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document.write( "g-1 = {(5,-6),(-7,1),(-4,5),(-8,8)}\r\n" );
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document.write( "So g-1(5) = -6\r\n" );
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document.write( "h(x) = 2x+13\r\n" );
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document.write( "Write y for h(x)\r\n" );
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document.write( "y = 2x+13\r\n" );
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document.write( "Interchange x and y\r\n" );
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document.write( "x = 2y+13\r\n" );
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document.write( "Solve for y\r\n" );
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document.write( "\"x=2y%2B13\"\r\n" );
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document.write( "\"2y%2B13=x\"\r\n" );
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document.write( "\"2y=x-13\"\r\n" );
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document.write( "\"%282y%29%2F2+=+%28x-13%29%2F2\"\r\n" );
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document.write( "\"y=%28x-13%29%2F2\"\r\n" );
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document.write( "h-1(x)=\"%28x-13%29%2F2\"\r\n" );
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document.write( "-----------------------------------\r\n" );
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document.write( "(h-1∘h)(-8)=\r\n" );
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document.write( "The composition of a function with its inverse or vice-versa\r\n" );
document.write( "is the identity function y = x, sometimes written I(x) = x.\r\n" );
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document.write( "Therefore, the output is the same as the input.\r\n" );
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document.write( "(h-1∘h)(-8)= I(-8) = -8.\r\n" );
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document.write( "Edwin
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