Find the vertical and horizontal asymptotes, domain, range, and roots of f(x)=−(1/x−3)+2

Question

How would you explain this math question?

Answer 1

I will assume that the correct syntax is

f(x) = - 1/(x-3) +2

In that case the horizonal asymptote is y = 2

The domain is all real numbers except x = 3 or (-∞ , 3) U (3,∞)

The range is all reals numbers except y =2 or (-∞, 2) U (2, ∞)

The root is at x = 5/2