Find g o h and [ h o g] 1. g(x)=x6 h(x)=x+6 2. g(x)=x3 h(x)=x^2 3. g(x)=x+2 h(x)=2x^23
Answer:
g o h and h o g are composite functions so the second term is a function of the first so without a given value to use you can just plug in the second equation for x in the first equation (in the first function term listed x is equal to x as the function of the second term listed).

g o h=(h(x))6; =(x+6)6; plug the second function into the first (h(x) into x in g(x)) for x, then simplify; g o h=x
h o g= (g(x))+6; =(x6)+6; plug the second function into the first (g(x) into x in h(x)) for x, then simplify; h o g=x 
g o h= (x^2)3; plug in and simplify(no more simplification possible); g o h=x^2 3
h o g= (x3)^2; plug in and simplify; =(x3)(x3) (; I am assuming you know the foil process); h o g=x^26x+9
3.g o h= (2x^2 3)+2; plug in and simplify; g o h= 2x^2 1
h o g= 2(x+2)^2 3; plug in and simplify; =2(x+2)(x+2)3; =2x^2 +8x+83;
h o g= 2x^2 +8x+5