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Mathematics
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Apr 6th, 2015

x = 2y+7 / 9y-5

9xy-5x = 2y+7

9xy-2y = 5x+7

y(9x-2) = 5x+7

y = 5x+7 / 9x-2

therefore, f-1(x) = 5x+7 / 9x-2

Check:

f(f-1(x)) = 2(5x+7/9x-2)+7 / 9(5x+7/9x-2)-5

= 10x+14+63x-14 / 45+63-45x+10

= 73x/73 = x  Therefore it checks out as the inverse

Apr 5th, 2015

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Apr 6th, 2015
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