How do you determine whether the function #f(x)=1/x^2# has an inverse and if it does, how do you find the inverse function?
1 Answer
Simply put, the graph of
Explanation:
In order to determine an equation of the inverse of
This is the graph of
graph{x=1/y^2 [-10, 10, -5, 5]}
The inverse is not a function because it does not pass the vertical line test. However, there are two methods to restrict the domain of
Method #1:
Restrict the domain of
graph{y=sqrt(1/x) [-10, 10, -5, 5]}
Method #2:
Restrict the domain of
graph{y=-sqrt(1/x) [-10, 10, -5, 5]}