find the domain and range of 1)2x-2/x^2-2x+3 2)how to find the domain and range of log functions??plz explain with an example.

Please ask one question in one query. 

 

1. f(x) = 2x-2/x^2-2x+3 = 3-2/x^2

 

Domain -- the function is valid for all values of x except at x = 0

Hence domain = R -{0}

 

Range = The function can have all values from -infinity to + infinity. Hence range = (-infinity, + infinity)