How do you find the domain and range of #f(x) =sqrt( x - 1) - 1/sqrt( 2-x)#?
Whenever we have a function with a square root, we know that the square root has to be bigger than or equal to
For the second square root, we need to be more careful, because we have
So our domain is
To find the range, we need to find the stationary point and find if the function is increasing or decreasing.