Answer: No, they are not inverses of each other.
Step-by-step explanation:
Let's use function composition to compute f(g(x)).
f(x) = 2x+3
f(g(x)) = 2( g(x) ) + 3
f(g(x)) = 2(2x-3) + 3
f(g(x)) = 4x-6+3
f(g(x)) = 4x-3
We don't end up with x as the final result.
Because f(g(x)) = x is not the case, it means f(x) and g(x) are not inverses of each other.