Quickly determine the inverse function f&supm;¹(x) for any linear equation in the form f(x) = ax + b. Our calculator simplifies complex inverse function concepts for students and professionals, providing instant, accurate results.
Formula:
To find the inverse function f&supm;¹(x) for a linear function f(x) = ax + b, we first replace f(x) with y: y = ax + b. Then, we swap x and y: x = ay + b. Finally, we solve for y: y = (x - b) / a. Thus, the inverse function is f&supm;¹(x) = (x - b) / a.
Where:
a = The slope or coefficient of x in the linear function.
b = The y-intercept or constant term of the linear function.