F (x) = x2 - 8x + 15 g (x) = x - 3 h (x) = f (x) : g (x) The domain of h (x) is

x ≠ 3

Step-by-step explanation:

f (x) / g (x) = x^2 - 8x + 15 / (x - 3)

= (x - 5) (x - 3) / (x - 3) = h (x)

The domain is {x | x ≠ 3)

(because h (x) has no value when x = 3:-the denominator x-3 becomes zero when x = 3)