Answer: g(g(1)) = 4 and g(g(g(1))) = 5 1/2
Explanation:
We will first find g(1). To do so, we plug 1 in for x.
g(1) = (1) + 3/2 = 5/2 = 2 1/2
To find g(g(1)) we will plug in 5/2 for x.
g(g(1)) = (5/2) + 3/2 = 8/2 = 4
To find g(g(g(1))) we will plug in 4 for x.
g(g(g(1))) = (4) + 3/2 = 11/2 = 5 1/2
Hope this helps!