Inverse hyperbolic functions are mathematical functions that are the inverses of the hyperbolic functions. They are denoted as sinh^-1(x), cosh^-1(x), tanh^-1(x), and so on. These functions help to solve equations involving hyperbolic functions, similar to how inverse trigonometric functions work for trigonometric equations. The most common inverse hyperbolic functions include sinh^-1(x), which gives the value whose hyperbolic sine is x, and cosh^-1(x), which gives the value whose hyperbolic cosine is x. These functions are useful in various fields, including calculus, engineering, and physics.