Answer:
1) They are not inverses
2) They are inverses
Step-by-step explanation:
We need to find the composition function between these functions to verify if these functions are inverses. If f[g(x)] and g[f(x)] are equal to x they are inverses.
<u>1)</u>
<u>Let's find f[g(x)] and simplify.</u>
As f[g(x)] is not equal to x, these functions are not inverses.
2)
<u>Let's find f[g(x)] and simplify.</u>
Now, we need to find the other composition function g[f(x)]
<u>Let's find g[f(x)] and simplify.</u>
Therefore, as f[g(n)] = g[f(n)] = n, both functions are inverses.
I hope it helps you!