For Any Function $f : A \rightarrow B$ , Define a New Function

question 154

Short Answer

For any function $f : A \rightarrow B$ , define a new function $g : \mathcal { P } ( A ) \rightarrow \mathcal { P } ( B )$ as follows : for every $S \subseteq A , g ( S )$ = $\{ f ( x ) \mid x \in S \}$ Prove that $f$ is onto if and only if $q$ is onto.

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Definitions:

Owner's Equity

The residual interest in the assets of the entity after deducting liabilities, representing the owners' claim on the business assets.

Withdrawals

Funds taken out from a business by its owner(s) for personal use, which reduce the capital accounts in the company’s equity section.

Revenue

The global earnings a company obtains from its key operational trades, especially in goods or services sales.

Accounts Receivable

Money owed to a business by its clients or customers for goods or services delivered but not yet paid for.