👉 Returning math, also known as inverse functions, involves finding a function that "reverses" the action of another function. Given a function \( f \) and its inverse \( f^{-1} \), if \( f(a) = b \), then \( f^{-1}(b) = a \). This means that applying \( f \) followed by \( f^{-1} \) (or vice versa) returns the original input. For example, if \( f(x) = 2x + 3 \), then \( f^{-1}(x) \) can be found by solving \( y = 2x + 3 \) for \( x \), yielding \( x = \frac{y - 3}{2} \), or \( f^{-1}(x) = \frac{x - 3}{2} \). This relationship is crucial in solving equations, simplifying expressions, and understanding the behavior of functions in various mathematical contexts.
