Question

find the domain of the function f(x) =1/log(2-x)​

Answer 1

let f(x)=1/log(2-x) is not defined for

2-x<0 (because negative log is not allowed),

2-x=1(log(1) is equal to 0 hence f(0) becomes infinite which is not allowed)

Hence domain is (-infinity, 2)-{1}

It can have any value except 0

Hence it’s range is (-infinity, 0)U(0,infinity)