Mathematics for IGCSE & O level - Functions (Section 3 - No. 21)
Which statement is true about the relationship between a function, f(x), and its inverse, f⁻¹(x)?
If a point (a, b) is on the graph of f(x), then the point (b, a) is on the graph of f⁻¹(x).
The graphs of f(x) and f⁻¹(x) are reflections of each other across the line y = x.
The domain of f(x) is the same as the range of f⁻¹(x)
The range of f(x) and the range of f⁻¹(x) are always the same.
Forklaring
Core concepts about function and its inverse