document.write( "Question 1138783: The one-to-one functions g and h are defined as follows. \r
\n" ); document.write( "\n" ); document.write( "g = {(-7,4), (4,-7), (8,5), (9,-4)}
\n" ); document.write( "h(x) = 3x-13\r
\n" ); document.write( "\n" ); document.write( "Find the following.\r
\n" ); document.write( "\n" ); document.write( "g^-1(-7) =\r
\n" ); document.write( "\n" ); document.write( "h^-1(x) =\r
\n" ); document.write( "\n" ); document.write( "(h*h^1)(8) = \n" ); document.write( "
Algebra.Com's Answer #759883 by adamsmith9037(4)\"\" \"About 
You can put this solution on YOUR website!
g^-1(-7) = 4 (note that inverse functions swap the x and y coordinates and the
\n" ); document.write( "coordinate (4,-7) is swapped to (-7,4)\r
\n" ); document.write( "\n" ); document.write( "h^(-1)x=....
\n" ); document.write( "let y = 3x-13
\n" ); document.write( "swapping the x and y,
\n" ); document.write( "x = 3y-13
\n" ); document.write( "making y the subject of the equation,
\n" ); document.write( "y = (x+13/3)
\n" ); document.write( "and hence h^(-1)x=(x+13/3)\r
\n" ); document.write( "\n" ); document.write( "h(x) = 3x-13
\n" ); document.write( "h(h(x)) = 3(3x-13) - 13
\n" ); document.write( "h(h(x)) = 9x - 39 - 13
\n" ); document.write( "h(h(x)) = 9x - 52
\n" ); document.write( "when x = 8,
\n" ); document.write( "9(8) - 52 = 72 - 52 = 20
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