Question: 1. Show that the function f(x) =e* ** is one-to-one. Graphing does not count as proof. (Hint: Use the derivative of the function.) 2. Find

1. Show that the function f(x) =e* ** is one-to-one. Graphing does not count as proof. (Hint: Use the derivative of the function.) 2. Find a formula for the inverse function f (x) of f(x) = 3 -In (x). Verify that f-1 (f (e] ) ) =e 3. Fill in the values of f-1(x) and (f-1)'(x) for x = -1, 1, 2. Provide detail to support your answers. X f (x) f' (x) f-1(x) (f-1)'(x) -1 -1 0 1 2 -2 2 1 4

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