question on c++ recursion and local variables

suppose I have this recursion:

void doSomething(double j)
{
    double x;
    double y;

    x = j -1;
    y = j -2 ;

    doSomething(x+y);

    x = j + 31;
    y = j + 12 ;
}

I know that this recursion executes infinitely, but just ignore that

My question is with regards to variables x and y's scope in the recursion tree...will x and y's scope be valid only for the function in that specific stage in the recursion tree? or when I call doSomething() again, when the child doSomething() in the recursion tree redeclares x and y, will it reset the parents' x and y variables as well or is it creating an entirely new x and y variables that is valid for that stage in the recursion tree only?