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

first blank is x-5

second blank is - infinity, 3

third blank is 3, infinity

h (x) = x - 5

set of all integers except 3

-∞ ≤ x ≤ ∞ and x ≠ 3

Step-by-step explanation:

Given the two equations in the question

Equation 1

f (x) = x² - 8x + 15

Equation 2

g (x) = x - 3

To find equation 3 that is h (x) we need to divide f (x) by g (x)

f (x) / g (x)

x² - 8x + 15 / x - 3

By using quadratic factorisation

(x-3) (x-5) / (x-3)

Cancel (x-3) from both numerator and denominator

h (x) = x-5

The domain of h (x)

set of all integers except 3

-∞ ≤ x ≤ ∞ and x≠3