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Function : Analytically Find the Inverse

Please see the attached file for the fully formatted problems.

Please, find analytically inverses of the following functions.

a. f(x)= √(x-a)/(√(x-a) + √(b-x))
b. f(x)= (x-a)^2.5/((x-a)^2.5 + (b-x)^2.5)

Where a and b are constants.

Please, note that analytical solution does not require substituting specific numeric values for the constants. If there is n close form for expressing the inverse, please, state so.


Solution Summary

The inverses of functions are found. The solution is well presented.