Inverse Function Finder
Inverse Function Finder
An inverse function undoes what the original function does, swapping its inputs and outputs — if f(2) equals 7, the inverse function takes 7 back to 2. Enter the slope and y-intercept of a linear function here, and this calculator finds its inverse by swapping x and y and solving for the new y. Not every function has an inverse — a horizontal line, for instance, maps every input to the same output, making it impossible to reverse.
- The inverse function reverses the input and output of the original function, so if f(2) = 7, then the inverse function gives f⁻¹(7) = 2.
- For a linear function y = mx + b, the inverse is y = (1/m)x − (b/m), found by swapping x and y, then solving for the new y.
- A horizontal line (slope of 0) has no inverse function, since every input maps to the same output, making it impossible to reverse.
How do I find the inverse of a linear function?
Swap x and y in the equation y = mx + b to get x = my + b, then solve for y: y = (x − b) / m.
What is the inverse of y = 2x + 3?
Swapping gives x = 2y + 3, solving for y gives y = (x − 3) / 2 = 0.5x − 1.5.
Inverse Function Finder
An inverse function undoes what the original function does, swapping its inputs and outputs — if f(2) equals 7, the inverse function takes 7 back to 2. Enter the slope and y-intercept of a linear function here, and this calculator finds its inverse by swapping x and y and solving for the new y. Not every function has an inverse — a horizontal line, for instance, maps every input to the same output, making it impossible to reverse.
- The inverse function reverses the input and output of the original function, so if f(2) = 7, then the inverse function gives f⁻¹(7) = 2.
- For a linear function y = mx + b, the inverse is y = (1/m)x − (b/m), found by swapping x and y, then solving for the new y.
- A horizontal line (slope of 0) has no inverse function, since every input maps to the same output, making it impossible to reverse.
How do I find the inverse of a linear function?
Swap x and y in the equation y = mx + b to get x = my + b, then solve for y: y = (x − b) / m.
What is the inverse of y = 2x + 3?
Swapping gives x = 2y + 3, solving for y gives y = (x − 3) / 2 = 0.5x − 1.5.