Let\'s create a value for the sake of this question:
val a = 1 :: Nil
now, I can demonstrate that the anonymous functions can be written in
For the record, a.map(_) does not work because it stands for x => a.map(x), and not a.map(x => x). This happens because a single _ in place of a parameter stands for a partially applied function. In the case of 2*_, that stands for an anonymous function. These two uses are so close that is very common to get confused by them.
Your first shorthand form can also be written point-free
a map (2*)
Thanks to multiplication being commutative.
As for (x) => x, you want the identity function. This is defined in Predef and is generic, so you can be sure that it's type-safe.
You should use identity function for this use case.
a.map(identity)
identity is defined in scala.Predef as:
implicit def identity[A](x: A): A = x