1.5 Inverse functions
Finding inverse functions informallyex.
Find the inverse of f(x) = x - 6. Then verify that both
You can verify that both functions are equal to the identity because:
Definition of the inverse of a function
let f and g be two functions such that
and
We can conclude from this that, the function g is the inverse of the function f
Verifying inverse functions algebraically
ex. Show that the functions are inverse of each other
Testing for one-to-one functions
ex. is
Therefore,
implies that
So, f is indeed a one-to-one functions
Finding the inverse of a function
-Alec
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