Explain how to determine whether a given function possesses an inverse function by doing the following: 1. Discuss the function’s graph and the graph of its inverse. 2. Find the inverse of f(x) = 2x.

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Betty - Inverses are always symmetrical with respect to the line y = x.  A function has an inverse if it passes the horizontal line test. For example, draw y = x^2.  This function does NOT have an inverse.  However, draw y=x^3 and you will see it does pass the horizontal line test. To find the inverse of y = 2x, just switch the x-y variables and then solve for y.  That is let x = 2y and now solve for y and you will have your inverse.  Good Luck