State of the given functions are inverses

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.

1)

Let's find f[g(x)] and simplify.

As f[g(x)] is not equal to x, these functions are not inverses.

2)

Let's find f[g(x)] and simplify.

Now, we need to find the other composition function g[f(x)]

Let's find g[f(x)] and simplify.

Therefore, as f[g(n)] = g[f(n)] = n, both functions are inverses.

I hope it helps you!  

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step-by-step explanation:

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