Iterative

reverse_string.h

#ifndef REVERSE_STRING_H
#define REVERSE_STRING_H

#include <string>

namespace reverse_string
{
    std::string reverse_string(const std::string& str);
}

#endif // REVERSE_STRING_H

reverse_string.cpp

#include "reverse_string.h"

namespace reverse_string
{

// (1) the function takes its argument "by reference to const"
std::string reverse_string(const std::string& original)
{
    // (2) start with an empty string
    std::string result;

    // (3) loop over the original string
    for (std::size_t i = 0; i < size(original); ++i)
    {
        std::size_t rindex = size(original) - i - 1;

        // (4) append each character (starting from the end)
        result.append(original[rindex]);
    }

    // result now contains a reversed version of the string
    return result;
}

} // namespace reverse_string;

The type of the parameter

The function takes its argument "by reference to const" (const std::string&). That avoids creating an unnecessary copy which can be comparatively expensive for a std::string. This is a best practice and widely recommended if a copy is expensive and the function does not need a "working copy" that it can modify (see the C++ Core Guidelines.)

Alternatively you could use a std::string_view. That type was added to C++17, it is an immutable view of a string, it is cheap to construct and to copy (see cppreference.com.)

Constructing an empty std::string

There are several equivalent ways to construct an empty std::string, for example:

std::string result;
std::string result{};
std::string result{""};
std::string result = "";
auto result = std::string{};

None of them is significantly better than the others, choosing one is mostly a matter of personal preferences.

Looping over the original string from back to front

In the implementation above i is a loop variable that goes from 0 to size(original) (exclusive). Inside the loop i is used to to calulate rindex, an index that goes from size(original) - 1 to 0 (inclusive).

There are other ways to write that loop, for example like this:

for (std::size_t rindex = size(original) - 1; rindex < size(original); --rindex)

That uses the fact that std::size_t is an unsigned integer type that "wraps around", std::size_t{0} - 1 is a large positive number.

Or with reverse iterators which many experienced C++ programmers would prefer:

for (auto rit = rbegin(original); rit != rend(original); ++rit)
{
    // *rit is the current character
}

Appending to the result

The solution above uses the member function append (see cppreference.com.) There are other equivalent member function like push_back() (see cppreference.com) or the operator += (see cppreference.com.) Either one is fine, chosing one is a matter of personal preferences.

Variation: With assignments

Instead of starting with an empty std::string and appending each character we could start with a string that has the correct length, and then assign each character to its correct position.

// start with a string of the correct length
std::string result(size(original), '_');

// loop over the original string
for (std::size_t i = 0; i < size(original); ++i)
{
    std::size_t rindex = size(original) - i - 1;

    // assign each character to its new place
    result[rindex] = original[i];
}

The assignment (result[rindex] = original[i]) needs two indexes, so we have to write the loop in a way that we get both. Either by computing the other index like in the snippet (std::size_t rindex = ...), or by using two loop variables:

for (std::size_t i = 0, rindex = size(original) - 1; i < size(original); ++i, --rindex)

Conclusion

This is a valid approach, it produces a correct result and is reasonably efficient.

But most experts recommend not doing things "manually" if there are better alternatives. You could consider using the std::string class to construct the reversed string directly. That would shorten the code, would be concise, easy to read, idiomatic, and very efficient. Check out the Direct Construction approach.