Final answer:
If f(x) and g(x) are inverses of each other, the statement f(g(x)) = 10x is true.
Step-by-step explanation:
The statement f(g(x)) = 10x holds true if f(x) and g(x) are inverses of each other.
To understand why, consider the composition of functions f(g(x)). When we substitute g(x) into f(x), the result should be equal to 10x.
This means that whatever value we input into g(x), the output of f(x) will be equal to 10 times that input.