Question

2. Find the domain of the function (f/g)(x) where f (x)= x^2 – 9 and g(x)= x^2 - 4x+3

A (-infinity, infinity)
B (-infinity, 1) (1, infinity)
C (infinity, 1) (1,3) (3, infinity)
D (-infinty, -3) (-3,-1)(-1, infinity)

Answer 1

I think you mean C.

Explanation:

f(x) / g(x) = (x + 3)(x - 3)

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(x - 3)(x - 1)

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

- ∞ < 1 U 1 < 3 U 3 < ∞