Question

Given that f(x) = 6x2 - 2x and g (x) = 2x, what is the domain of

the set of all real numbers except x = 0

O the set of all real numbers

O the set of all real numbers except x =

O the set of all real numbers except x = 0 and x = 1

(x)? (1 point)

Answer 1

The domain of (f/g)(x) = (6x^2 − 2x)/(2x) is all real x with g(x) ≠ 0. Since 2x = 0 only at x = 0, the domain is all real numbers except x = 0 (i.e. (-∞,0) ∪ (0,∞)).