Question

given any two functions f(x) and g(x), is it always true that (f ºg)(x)=(gºf)(x)?

Answer 1

Try f(x)=x+2 and g(x)=2x

Answer 2

but one of the answer choices are yes no or cannot be determined

Answer 3

kc gave you a way to determine it ....

Answer 4

so it the answer yes?

Answer 5

is*

Answer 6

did you compose the function of the define f and g to compare them?

Answer 7

yes

Answer 8

and what are the compositions you came up with?

Answer 9

2=x

Answer 10

f(x)=x+2 and g(x)=2x

fog = g+2 = 2x+2

gof = 2f = 2(x+2) = 2x+4

is fog always equal to gof ?

is 2x+2, always equal to 2x+4 ?

Answer 11

no

Answer 12

then the answers has to be no ...

Answer 13

ok I get it thank you

Answer 14

by default, function composition is not commutative