Answer:
• f(g(x)) = [tex]\sqrt{x^{2} + 1}[/tex] + 8
• g(f(x)) = 16[tex]\sqrt{x}[/tex] + x + 65
Step-by-step explanation:
• f(g(x)) = f(x² + 1)
= [tex]\sqrt{x^{2} + 1}[/tex] + 8
• g(f(x)) = g([tex]\sqrt{x + 8}[/tex] )
= [tex](\sqrt{x } + 8)^{2}[/tex] + 1
= x + 16[tex]\sqrt{x}[/tex] + 64 + 1
= 16[tex]\sqrt{x}[/tex] + x + 65
