How do you verify that #f(x)=x^2+2, x>=0; g(x)=sqrt(x-2)# are inverses?
1 Answer
Feb 13, 2018
Find the inverses of the individual functions.
Explanation:
First we find the inverse of
To find the the inverse, we interchange x and y since the domain of a function is the co-domain (or range) of the inverse.
Since we are told that
then it means that
This implies that
To verify that
Hence we have established that