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:

Variable Cost

Costs that vary directly with the level of production or volume of output.

Fixed Cost

A cost that remains constant regardless of the level of goods or services produced within a certain range.

Break-even Sales

The amount of revenue required to cover a company's total fixed and variable costs.

Common Fixed Expenses

Expenses that do not vary with production or sales levels, shared across multiple products, departments, or segments of a business.