Question

Which of the following is a true statement about functions?
http://i.imgur.com/D1ECF2C.png

Answer 1

What do you think?

Answer 2

You don't multiply matrices the same way you add matrices.

Take f(x)=2x and g(x)=x+1. Try f(g(x)) and g(f(x)).

(f+g)(x)=f(x)+g(x) so what do you think about C?

Try f(x)=2x-1. If f(3h) = 3*f(h)?

Answer 3

So then its not a. wouldnt c and b both be true though?

Answer 4

c is true.

Did you try the compositions in b with the functions I gave you?

Answer 5

Take f(x)=2x and g(x)=x+1. Try f(g(x)) and g(f(x)).

f(g(x))=f(x+1) = 2(x + 1) =?

g(f(x))=g(2x) = (2x) + 1 =?

Answer 6

No let me