Question

Which answer includes a function, its inverse, and a dashed line that verifies the relationship?

Answer 1

For example:

- Function: f(x) = 2x + 3
- Inverse: f⁻¹(x) = (x − 3) / 2
- Dashed line: y = x

Verification:
- Derive inverse: set y = 2x + 3, swap x and y → x = 2y + 3, solve y = (x − 3)/2.
- Composition: f(f⁻¹(x)) = 2((x − 3)/2) + 3 = x and f⁻¹(f(x)) = (2x + 3 − 3)/2 = x.
- Geometric check: the graphs of f and f⁻¹ are reflections of each other across the dashed line y = x.