not usually, even for linear functions:
f = ax+b
g = cx+d
f◦g = ag+b = a(cx+d)+b = acx + ad+b
g◦f = cf+d = c(ax+b)+d = acx + bc+d
with suitable values for a,b,c,d it might work.
For other functions, all bets are off
f = e^x
g = x^2
f◦g = e^g = e^(x^2)
g◦f = f^2 = e^(2x)
Help me for this question on composite functions
Does the composition of functions display the commutative property? Give an example of each case to illustrate your answer.
1 answer
2 answers