Restrict the Domain of the Following Function $f$ So That the Function Is One-To-One and Has an Inverse

question 21

Multiple Choice

Restrict the domain of the following function $f$ so that the function is one-to-one and has an inverse function.
$f ( x ) = - | x - 4 | + 2$

• A) \([ - 4 , \infty )\)
• B) \([ 2,4 ]\)
• C) \([ 4 , \infty )\)
• D) \([ - 2,4 ]\)
• E) \(( - \infty , 2 ]\)

---

Definitions:

Equitable Remedy

A judicial order enforcing a right or redressing a wrong, guided by principles of equity rather than strict legal rules.

Consensus

An element of a valid contract; both parties must objectively know and agree to its terms through an offer and an acceptance.

Rectification

The legal process of correcting a mistake in a document to reflect the true intentions of the parties involved.

Breach of Contract

The violation of a contractual obligation by failing to perform one's own promise, by impeding another party's performance, or by otherwise making performance impossible.