Answer:
B and C
Step-by-step explanation:
If f(x) and g(x) are inverses of each other, then they are symmetric about the line y=x. Additionally, f(g(x)) should equal x if they are inverses of each other.
For example, if f(x)=x² and it's inverse was g(x)=√x, then f(g(x))=f(√x)=(√x)²=x so they are indeed inverses of each other, and if you were to graph them, they would be symmetric about the line y=x.
Therefore, the correct choices are B and C.
Hope this makes sense.
Note: f(g(x)) is the same as (f o g)(x) as they both are composite functions
