next up previous
Next: About this document Up: A Review of One Previous: Hyperbolic Functions

Inverses of Functions

The inverse of a function is not always defined. In order for a function to have an inverse, it must be one to one. A function is said to be one to one if f(a) = f(b) implies that a = b. In other words, there is only one value of x that is mapped to each value of y. The inverse of a function, f is usually denoted tex2html_wrap_inline480 . Note that if the point (x,y) is on the function f then the point (y,x) is on the function tex2html_wrap_inline480 . The inverse function can be found by writing y = f(x), swapping x for y to get x = f(y) and solving for tex2html_wrap_inline498 .



Vector Calculus
Wed Sep 17 14:50:13 MST 1997