For Any Function F: a → B , Define a New

question 18

Essay

For any function f: A → B , define a new function g: P(A) → P(B) as follows: for every S ⊆ A, g(S) = { f(x) |
x ∈ S Prove that f is onto if and only if g is onto.

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Definitions:

Production Data

Information and statistics related to the amount and types of goods and services produced within a particular period.

Quotas and Tariffs

Quotas and tariffs are trade policies where quotas limit the quantity of goods that can be imported, and tariffs are taxes imposed on imported goods to make them more expensive.

Foreign Governments

The governing bodies or authoritative administrations of countries other than one's own.

Import Quota

is a limit on the quantity or value of a certain good that can be imported into a country, typically applied to protect domestic industries.