SOLUTION: Given f(x) = tan(x) + 1 and g(x) = x^3 find f(g(g(x)))

First we replace the green g(x) by the right side of g(x), which is x3:



Next we must find , which means to substitute
x3 for x in the right side of g(x), which is also x3, so we get  which is 

So 

So we substitute x9 for  in
 and get


That means to substitute x9 for x in the right side of f(x), which
is tan(x) + 1, so the final answer is:


 
Edwin