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17-04-2018
Mathematics

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Write the inverse of the rational function f(x)=15x +50 over x+5

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beckiholmes101 beckiholmes101

17-04-2018

f(x) = 15x + 50/x + 5
y = 15x + 50/x + 5
x = 15y + 50/y + 5
x(y + 5) = 15y + 50
xy + 5x = 15y + 50
5x - 50 = 15y - xy
5x - 50 = y(15 - x)
y = 5x - 50/15 - x

SO

The inverse of f(x) = 5x - 50 over 15 - x

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