Let f(x) = 3x+2 and g(x) = x2

Part 1 [2 points] Find f(g(x))
Part 2 [2 points] Find g(f(x))
Part 3 [4 points] Use complete sentences to explain any difference in part 1 and part 2.

Question

Let f(x) = 3x+2 and g(x) = x2 

Part 1 [2 points] Find f(g(x)) 
Part 2 [2 points] Find g(f(x)) 
Part 3 [4 points] Use complete sentences to explain any difference in part 1 and part 2.

anonymous · Answer

I know that $$f(g(x))=3x^2+2$$

anonymous · Answer

I also know that $$g(f(x))=9x^2+12x+4$$

anonymous · Answer

How do I describe the difference?

mertsj · Answer

I think it might mean for you to point out that for f(g(x)) you replace each x in the function f with the function g and for the g(f(x)) you replace each x in the function g with the function f.

anonymous · Answer

What's the difference in equations, I don't think I have the vocabulary to explain it.

mertsj · Answer

If you want the actual difference, then subtract.