For the Given Functions F and G, Find the Requested $( f - g ) ( x ) = 12 x - 15 ; \{ x \mid x \neq 1 \}$

question 61

Multiple Choice

For the given functions f and g, find the requested function and state its domain.
-f(x) = 7x - 6; g(x) = 5x - 9 Find f - g.

• A) \(( f - g ) ( x ) = 12 x - 15 ; \{ x \mid x \neq 1 \}\)
• B) \(( f - g ) ( x ) = 2 x - 15 ; \left\{ x \mid x \neq \frac { 15 } { 2 } \right\}\)
• C) \(( f - g ) ( x ) = - 2 x - 3\); all real numbers
• D) \(( f - g ) ( x ) = 2 x + 3\); all real numbers

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Definitions:

High Metabolism

A condition where the body burns calories at a faster rate than average, often resulting in difficulty gaining weight.

Satiety

The feeling of fullness or satisfaction that signals the end of a meal and inhibits eating until the next meal.

Hunger Pangs

Physical sensations of discomfort or pain in the stomach area indicating the need or desire to eat.

Digestive Tract

The series of hollow organs joined in a long, twisting tube from the mouth to the anus, where digestion of food occurs.