Question

If f(x) = x2 – 1 and g(x) = 2x – 3, what is the domain of mc015-1.jpg?
mc015-2.jpg
mc015-3.jpg
mc015-4.jpg
mc015-5.jpg

Answer 1

I don't see the images — which expression do you mean (f+g, f−g, fg, f/g, f∘g, g∘f, or just f or g)?

Common answers for these f(x)=x^2−1 and g(x)=2x−3:

- Domain(f) = (−∞, ∞)
- Domain(g) = (−∞, ∞)
- Domain(f+g), Domain(f−g), Domain(f·g) = (−∞, ∞)
- Domain(f/g) = all real x with g(x) ≠ 0 ⇒ x ≠ 3/2, i.e. (−∞, 3/2) ∪ (3/2, ∞)
- Domain(f∘g) and Domain(g∘f) = (−∞, ∞)

Tell me which option/image you meant and I’ll pick the matching choice.