Answer:
Step-by-step explanation:
f(x) = 5 - x
g(x) = [tex]\frac{1}{x-2}[/tex] (x ≠ 2)
(a). f(g(x)) = 5 - [tex]\frac{1}{x-2}[/tex]
f(g(x)) = [tex]\frac{5x-11}{x-2}[/tex]
Domain: x ≠ 2 or ( - ∞ , 2 ) ∪ ( 2 , ∞ )
(b). g(f(x)) = [tex]\frac{1}{3-x}[/tex]
Domain: x ≠ 3 or ( - ∞ , 3 ) ∪ ( 3 , ∞ )
