AnswersEAP-Algebra Functions and Data Analysis A CRComposition of Functions and ModelingQuestion 168713
168713
AssignmentMultiple Choice
Composition of Functions and Modeling
Question 168713 • EAP-Algebra Functions and Data Analysis A CR
Which statement describes function composition with respect to the commutative property?
Answer
A
Given f(x) = x² – 4 and g(x) = x – 3, (f ∘ g)(2) = –3 and (g ∘ f)(2) = –3, so function composition is commutative.
B
Given f(x) = 2x – 5 and g(x) = 0.5x – 2.5, (f ∘ g)(x) = x and (g ∘ f)(x) = x, so function composition is commutative.C
Given f(x) = x² and g(x) = , (f ∘ g)(4) = 16 and (g ∘ f)(4) = 4, so function composition is not commutative.D
Given f(x) = 4x and g(x) = x², (f ∘ g)(x) = 4x² and (g ∘ f)(x) = 16x², so function composition is not commutative.