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Finding the inverse of two functions 
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#1
Feb2112, 07:40 PM

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1. The problem statement, all variables and given/known data
How do I find the inverse of these functions step by step? y= e^x^3 y= sin(1/x) I know the solutions but I don't know how to work with these two functions. Does anyone know the steps to finding the inverse of these? 


#2
Feb2112, 07:46 PM

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The goal is to solve for x in terms of y.
What can you do to both sides of y = e^(x^3) that would be a logical first step? For the second function, y = sin(1/x), is there a restriction on the domain? As it's written, this function is not invertible because it's manytoone. For example, there are infinitely many x for which sin(1/x) = 0, namely x = 1/(n*pi) for any nonzero integer n. 


#3
Feb2112, 07:59 PM

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