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Inverses of a Hyperbolic Functions

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Find and prove a formula for the inverse hyperbolic tangent, arctanh(x) .
The formula should involve a natural logarithm. Also, check the answer by substituting the definition of tanh x into your inverse formula and simplify. Show all work please.

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Solution Summary

The solution provides a step by step derivation of the formula for the hyperbolic tangent, arctanh(x).

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