Answer to Question #3445 in Trigonometry for amos

Question

If F(x) = x² + 2 and G(x) = 2/x, find (G ○ F)(2)

Answer 1

If F(x) = x² + 2 and G(x) = 2/x, then

(G ○ F)(x) = 2/F(x) = 2/( x² + 2)
(G ○ F)(2) =& 2/( 2² + 2)& = 2/6 = 1/3