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Finding an Inverse Algebraically - Problem 9 325 views

Any time we're asked to find the inverse of a function, we need to switch x and y and then solve for y. When asked to find the inverse of a exponential function in particular, we'll be needing to re-write the function in log form using the definition of logs. You must be extremely careful when you're re-arranging the quantities to make sure everything ends up in the right place. "ln," or the natural log, can be thought of as log base "e." Don't forget to check your work using compositions, making sure that f(f-1(x)) = f-1(f(x) = x .

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