40E

Step by step solution Step 1 of 1 Consider given functions f(x) = |x|, g(x) = x 4, F(x) x and G(x) = 1/(x2) . The function F g° °can be written as F (g(g(x))). First we must find the value of functio g(g(x)). In order to do that we put the relatio (x) in place in the functi n of (x): g g = g(g(x)) ° g(x) = x 4 g(g(x)) = (g(x)) 4 2 g(g(x)) = (x 4) 4……….(1) If we want to find the value of functi (x ) =g(g(x)) we must use the function g(g(x)) in the relation for t he function F(x): F ° ° = F(g(g(x))) F(x) = F(g(g(x))) =g(g(x)) Let’s use value fo (g(x)) from relation (1): 2 F(g(g(x))) = (x 4) 4 Hence the value of F g g is (x 4) 4. ° °