logarithmic-forms-of-inverse-hyperbolic-functions

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Logarithmic forms of inverse hyperbolic functions

$arsinh x equals ln open parentheses x plus square root of x squared plus 1 end root close parentheses$ , $x element of straight real numbers$
$ar cosh x equals ln open parentheses x plus square root of x squared minus 1 end root close parentheses$ , $x greater or equal than 1$
- Since coshx is a many-to-one function, its domain is restricted to x ≥ 0 when finding the inverse
- Therefore, its range is coshx ≥ 1
- So, the domain of the inverse function is x ≥ 1
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