Question

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

Answer 1

x

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)