Question

Question in image, it asks to show your work

Answer 1

Answer:

• f(g(x)) =  $\sqrt{x^{2} + 1}$  + 8

• g(f(x)) = 16$\sqrt{x}$ + x + 65

Step-by-step explanation:

• f(g(x)) = f(x² + 1)

         = $\sqrt{x^{2} + 1}$  + 8

• g(f(x)) = g($\sqrt{x + 8}$ )

            = $(\sqrt{x } + 8)^{2}$ + 1

            =  x + 16$\sqrt{x}$ + 64 + 1

            = 16$\sqrt{x}$ + x + 65