If E be a shifting operation applied to a function f, such that E(f) = f (x +β ), then?
(a) E (αf+β g) = α E(f) +β E (g)
(b) E (αf +β g ) =. ( α+ β ) + E (f + g)
(c) E (αf +β g ) = α E (f+gβ)
(d) E (αf +β g ) = αβ E (f + g)
I got this question in an interview for internship.
This question is from Syntax-Directed Definitions and Translations topic in section Syntax Directed Definition and Translations of Compiler