Rule 1: All polynomials are in ALEX

Rule 2: If f(x) and g(x) are in ALEX, then so are:

1- (f(x))

2- -(f(x))

3- f(x) + g(x)

4- f(x) - g(x)

5- f(x)g(x)

6- f(x)/g(x)

7- f(x) ^g(x)

8- f(g(x))

Assuming that the rules seen in class recursively defining polynomials can be used here to prove x+2 and 3x are polynomials, show that (x + 2) ^3x is in ALEX.