Answer: They are inverses of each other.
Explanation:
f(x) = -x+5
f(g(x)) = -(g(x)) + 5
f(g(x)) = -(-x+5) + 5
f(g(x)) = x - 5 + 5
f(g(x)) = x
The steps to show that g(f(x)) = x are identical to what is shown above. This is because both f(x) and g(x) are the same.
Since f(g(x)) = x and g(f(x)) = x are true, this means the functions are inverses of each other.
