SOLUTION: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM: If f(g(x)) = g(f(x)) = x, then whay can we say about f(x) and g(x)? a. they are functional inverses of each other b. f(x) = g(

Question 156166: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
If f(g(x)) = g(f(x)) = x, then whay can we say about f(x) and g(x)?
a. they are functional inverses of each other
b. f(x) = g(x)
c. f(x) = g(x) = x
d. nothing can be said about f(x) and g(x)

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Remember, if f(x) and g(x) are inverses of one another, then we can say that f(g(x))=x and g(f(x))=x. So this means that the answer is a) they are functional inverses of each other

Note: we know nothing about f(x) and g(x). So we cannot just blindly assume that f(x)=g(x) or f(x)=g(x)=x without some evidence. So this rules our choices b) and c).
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