How to solve
An inverse undoes a function: if f sends x to y, f⁻¹ sends y back to x. For a linear map, swap input and output and solve for the new output — that algebraic swap encodes the undo steps in reverse order.
Steps
- Replace f(x) with y.
- Swap x and y, then solve for y.
- Rename y as f⁻¹(x).
Example
Find the inverse of f(x) = 2x + 3.
- y = 2x + 3; swap: x = 2y + 3.
- x − 3 = 2y ⇒ y = (x − 3)/2.
- f⁻¹(x) = (x − 3)/2.
Answer: (x-3)/2
How to type answers
- Enter like (x-3)/2 or x/2-3/2
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