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The multiplicative inverse of 3x-1 is 1/3x-1. That inverse degrades at x = 1/3 because at that point, you would have division by zero.
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You use the inverse function (if one exists).So, if y = f(x) then x = f-1(y)
To find the inverse of a function, simply switch the variables x and y. So for the function y=7x+3, the inverse would be x=7y+3, or y=(x-3)/7.
One inverse is 176/r = P
If f(x)=y, then the inverse function solves for y when x=f(y). You may have to restrict the domain for the inverse function to be a function. Use this concept when finding the inverse of hyperbolic functions.