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.
Please Help!

Answer 1

f(g(x)) means taking the whole function of g(x) and plugging it into every x-value of f(x). So that means you would do this:
\[3(x ^{2}) + 2\]
Same thing for g(f(x)), except you would plug the entire function of f(x) into every x-value in g(x). So you would be doing this:
\[(3x+2)^{2}\]
Kinda see what i did?

Answer 2

Thank you so much! I understand what you did

Answer 3

Okay, awesome ^_^ Good luck :3