Answer:
x - 9
Step-by-step explanation:
(f ÷ g)(x) = f(x) ÷ g(x), that is
[tex]\frac{x^2-19x+90}{x-10}[/tex] ← factorise the numerator
= [tex]\frac{(x-10)(x-9)}{x-10}[/tex] ← cancel the common factor (x - 10) on numerator/denominator
= x - 9
