I have a pretty simple flatmap function implemented in C++ for std::vector, but it has been suggested that ranges are generally better. Here's the vector based solution: 
// flatmap: [A] -> (A->[B]) -> [B]    
template<typename T, typename FN>
static auto flatmap(const std::vector<T> &vec, FN fn) 
     -> std::vector<typename std::remove_reference<decltype(fn(T())[0])>::type> {
    std::vector<typename std::remove_reference<decltype(fn(T())[0])>::type> result;
    for(auto x : vec) {
        auto y = fn(x);
        for( auto v : y ) {
            result.push_back(v);
        }
    }
    return result;
};
It has also been suggested that I use iterators, but that breaks the nice composability of the function:
map(filter(flatmap( V, fn), fn2), fn3)
I would assume that in a range-v3 world I'd be aiming for writing the above as:
auto result = v | flatmap(fn) | filter(fn2) | transform(fn3);
It feels like flatmap should  just be a trivial combination of views::for_each, yield_from and transform, but I'm struggling to work out how to hook them all together.
IIUC, your flatmap function is nothing but range-v3's view::for_each. Try:
using namespace ranges;
auto result = v | view::for_each(fn) | to_vector;
HTH
If I understood correctly, what your function flatmap must do, you can write it as v | view::transform(fn) | action::join. Here is example of making it with ranges:
#include <range/v3/all.hpp>
#include <iostream>
#include <string>
#include <utility>
#include <vector>
// flatmap: [A] -> (A->[B]) -> [B]
template<typename T, typename FN>
static auto flatmap(const std::vector<T> &vec, FN fn)
     -> std::vector<typename std::remove_reference<decltype(fn(T())[0])>::type> {
    std::vector<typename std::remove_reference<decltype(fn(T())[0])>::type> result;
    for(auto x : vec) {
        auto y = fn(x);
        for( auto v : y ) {
            result.push_back(v);
        }
    }
    return result;
};
// This will be test function for both flatmap and range usage
std::vector<std::string> testFn(int n)
{
    std::vector<std::string> result;
    int ofs = 0;
    for(int i = 0; i < n; ++i)
    {
        char initialChar = 'A' + ofs;
        std::string partialResult = "\"";
        for(int j = 0; j <=i; ++j, ++ofs)
        {
            partialResult.append(1, initialChar+j);
        }
        partialResult += "\"";
        result.push_back(partialResult);
    }
    return std::move(result);
}
int main(int, char**)
{
    std::vector<int> vv {1, 2, 3, 4, 5, 6};
    // test flatmap
    auto r2 = flatmap(vv, testFn);
    for(auto s:r2)
    {
        std::cout << s << " " ;
    }
    std::cout << "\n";
    using namespace ranges;
    // test ranges equivalent
    auto rng = vv|view::transform(testFn)|action::join;
    //         ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ this is an equivalent for flatmap in ranges terms
    for(auto s:rng)
    {
        std::cout << s << " ";
    }
    std::cout << "\n";
    std::cout << std::flush;
    return 0;
}
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