Determine whether each statement is true or false.

1. The inverse of the function (x)= x+3 is the function g(x)= x-3.

2. The product of two inverse functions is always 1.

3. The inverse of the relation R= {(0, 1), (0, -2), (0, 3) is a function.

4. The inverse of the function (x) = 2x is f (x)=-2x.

5. The functions (x) = 4x2 and g(x)= 12x are inverses of each other. -​