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.

Answer 1

start from the inside out

\[f(g(x))=f(x^2)=3x^2+2\] for the first one

Answer 2

that is part one?

Answer 3

yes

Answer 4

do yo mind doing the second one

Answer 5

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

Answer 6

and finally what is the difference between the two

Answer 7

just compare both answers...

Answer 8

i'll start you off by saying they are two completely different function.

Answer 9

other than one finds g and one finds x what else

Answer 10

in the first one, g is composed in f. in the second one f is composed in g. They both yield two different functions.

Answer 11

thanks so much.