How do you you interpret the coefficient of a inverse functional form?

In an inverse functional form, the coefficient represents the change in the independent variable for a one-unit change in the dependent variable, but in a non-linear context. Specifically, if the functional form is (y = \frac{a}{x} + b), the coefficient of (x) indicates how sensitive the dependent variable (y) is to changes in (x). As (x) increases, the effect of the coefficient diminishes since (y) decreases at a decreasing rate. Therefore, interpreting these coefficients requires careful consideration of the non-linear relationship between the variables.