Question

Let f(x) = 3x+1 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.

Answer 1

Part 1:

Answer 2

f(x^2) = 3x^2+1

Answer 3

g(3x+1) = (3x+1)^2 = 9x^2+6x+1

Answer 4

And Part 3:

Answer 5

You can see the difference yourself!