Inverse Relations Remember, a relation is a mapping of input values to output values. An inverse relation maps the outputs back onto the inputs. (The domain and range switch.) Its graph is a reflection of the original relation over the line y = x.
Finding an Inverse Relation1. Switch x and y.2. Solve for y.Example: Find the inverse of y = 2x - 4
Inverse Functions If both the original relation and its inverse are functions, they are inverse functions. Functions f and g are inverses if: f(g(x)) = x and g(f(x)) = x Function g is then called f-1 (read “f inverse”)
Verifying Inverse Functions Show that Example:Verify thatare inverses.