Question

I have a question, but it won't let me type it all out so I'll post it below as an image.

Answer 1

the last one is nonsense of course (it has to do with matrices, not functions)

Answer 2

for the first one, it's saying "the order that you apply functions doesn't matter." you should know this is of course incorrect

Answer 3

the third one says that constants "multiply through" functions. this is similarly just not true. the only one that is true is the one that states addition of functions is commutative (which is evident)

Answer 4

the first and third are true sometimes, of course -- that's obvious; take a function and its inverse for the third and any linear function for the third -- but they're not true for functions in general. counterexamples are easy to find!

Answer 5

Thank you!!