If $f ( x ) = 2 x ^ { 2 } + 1$

question 42

Essay

If $f ( x ) = 2 x ^ { 2 } + 1$ and $g ( x ) = x - 1$ , find $f + g$ , $\mathrm { fg }$ , and their domains.

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Definitions:

Secondary Gain

The advantage or benefit a person unconsciously gains from maintaining their illness or ailment.

Repressed Emotions

Emotions that are unconsciously avoided or suppressed due to various psychological reasons.

Symptom Complaints

Expressions of discomfort, distress, or dysfunction experienced by an individual, often prompting seeking medical or psychological treatment.

Traumatic Event

An incident that causes significant emotional shock and may result in lasting psychological trauma.