Search
Ask a question
0

from finding the inverse function, evaluating function and operation with functions,

Does the order of composition matters?
 

1 Answer by Expert Tutors

Tutors, sign in to answer this question.
Ryan S. | Mathematics and StatisticsMathematics and Statistics
4.8 4.8 (10 lesson ratings) (10)
0
Short answer: Yes it does.
 
Here is an example.
 
f(x) = 3x
g(x) = x2
 
(f°g)(x)=f(x2)=3*(x2)=3x2
(g°f)(x)=g(3x)=(3x)2=9x2
 
I haven't proven this vigorously, but I conjecture that there are more examples where the order matters than when it doesn't.