Question

find the domain of f(x)^-1 if f(x)= 2/x -10 ?

Answer 1

f(x) = 2/x - 10
=> y = 2/x - 10
=> y + 10 = 2/x
=> x = 2/(y+10)
which is defined for all real values of y except y = -10
hence the domain is R - {-10}