Through
Through[p[f1,f2][x]]
gives p[f1[x],f2[x]].
Through[expr,h]
performs the transformation wherever h occurs in the head of expr.
Details

- Through distributes operators that appear inside the heads of expressions.
- Parallelize[Through[p[f1,f2][x]]] computes Through[p[f1,f2][x]] in parallel on all subkernels. »
Examples
open allclose allBasic Examples (2)
Scope (2)
Properties & Relations (3)
Wolfram Research (1988), Through, Wolfram Language function, https://reference.wolfram.com/language/ref/Through.html.
Text
Wolfram Research (1988), Through, Wolfram Language function, https://reference.wolfram.com/language/ref/Through.html.
CMS
Wolfram Language. 1988. "Through." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/Through.html.
APA
Wolfram Language. (1988). Through. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Through.html