Is it possible in C++11 to combine functions into a new function?

This is more a kind of theoretical question. Is it possible in C++11 to combine functions into a new function? For example :

auto f = [](int i){return i * 2;};
auto g = [](int i){return i + 10;};

So this works:

auto c = f(g(20)); // = 60

But I want an object that stores the combination, like

auto c = f(g);
std::cout << c(20) << std::endl; //prints 60