Answer:
x + 1
Step-by-step explanation:
f(x) × g(x)
= x² + 5x + 4 × [tex]\frac{1}{x+4}[/tex]
= [tex]\frac{x^2+5x+4}{x+4}[/tex]
factorise the numerator
x² + 5x + 4 = (x + 4)(x + 1) ← in factored form
= [tex]\frac{(x+4)(x+1)}{x+4}[/tex]
cancel the factor (x + 4) on the numerator/denominator, leaving
(f · g)(x) = x + 1 ← in simplest form
