Let [tex]f(x)=2x+4i[/tex], [tex]g(x)=ix[/tex], and [tex]h(x)=x-2i[/tex].

Which two of the functions above can be composed to create a function with only real numbers rather than still having an imaginary part? Show the steps of your function composition and explain in words what happened in that composition process to "lose" the imaginary part of the complex numbers from the original functions.