Find $f ^ { - 1 } ( x )$ If $f ( x ) = \sqrt { e ^ { 2 } + 2 }$

question 19

Essay

Find $f ^ { - 1 } ( x )$ if $f ( x ) = \sqrt { e ^ { 2 } + 2 }$ .

---

Definitions:

Equilibrium

Equilibrium is a condition in a chemical reaction when the rate of the forward reaction equals the rate of the reverse reaction, leading to a constant concentration of reactants and products.

Tautomers

Isomers of organic compounds that differ in the position of protons and electrons but have the same molecular formula, often interconverting in a chemical equilibrium.

Enols

Organic compounds containing a hydroxyl group directly bonded to a carbon atom that is double-bonded to another carbon atom.

Ketones

Ketones are organic compounds characterized by a carbonyl group (C=O) linked to two carbon atoms. They are part of many biological and synthetic substances.