I seriously need help in solving #3 in this website :http://regentsprep.org/Regents/math/algtrig/ATP7/fogprac.htm
I need help in solving those two functions step by step, please, I really don't understand this, once again #3!! Please show all steps, thanks so much lovely people! <3
I need help in solving those two functions step by step, please, I really don't understand this, once again #3!! Please show all steps, thanks so much lovely people! <3
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f = x^2 ; g = 2x ; h = x - 2
f(g)(h)
f(g) = (2x)^2 = 4x^2
f(g)(h) = 4(x - 2)^2
f(g(h))
g(h) = 2(x - 2)
f(g(h)) = (2(x - 2))^2 = 4(x - 2)^2
Answer: The compositions are the same. The composition of functions is always associative.
f(g)(h)
f(g) = (2x)^2 = 4x^2
f(g)(h) = 4(x - 2)^2
f(g(h))
g(h) = 2(x - 2)
f(g(h)) = (2(x - 2))^2 = 4(x - 2)^2
Answer: The compositions are the same. The composition of functions is always associative.