Domain and range from a rule (Domain = admissible inputs; range = actual outputs (subset of codomain))

jee-mainjee-advanced

Domain = admissible inputs; range = actual outputs (subset of codomain)

What each symbol means

SymbolWhat it stands for
dom(f)Set of x for which f(x) is defined and in Y per rule
range(f)Image set {f(x)}

When to use this

Real JEE problems: watch square roots, logs, denominators, arcsin/arccos domains.