Decide whether the composite functions, f ∘ g and g ∘ f, are equal to x.
-f(x)= , g(x)=
A)No, no
B)No, yes
C)Yes, no
D)Yes, yes

Name: Decide whether the composite functions, f ∘ g and g ∘ f, are equal to x. -f(x)= , g(x)= A)No, no B)No, yes C)Yes, no D)Yes, yes
Brand: Quizplus
Rating: 4.9 (41 reviews)

Question

Decide whether the composite functions, f ∘ g and g ∘ f, are equal to x.
-f(x)=  , g(x)= 
A)No, no 
B)No, yes 
C)Yes, no 
D)Yes, yes

Quizplus · Accepted Answer

Since f and g are not inverse functions of each other, the order in which they are composed matters. Therefore, f ∘ g and g ∘ f will not be equal to x in general, unless f and g happen to be inverse functions.

Decide Whether the Composite Functions, F ∘ G and G