Inverses
Direct & Inverse Relationships
Direct and inverse relationships were presented in 7th and 8th grade math courses, but a brief summary is provided here. Functions that have a direct relationship will have the form y = kx. Functions that have an inverse relationship will have the form . These two functions are both forms of power functions and are inverses of each other.
To see where this relationship comes from, find the inverse of y = kx.
Step 1. Switch the x and the y.
x = ky
Step 2. Solve for y.
The inverse of y = kx is .