For the Given Functions F and G, Find the Requested $$f ( x ) = 16 - x ^ { 2 } ; g ( x ) = 4 - x$$

question 91

Multiple Choice

For the given functions f and g, find the requested function and state its domain.
- $$f ( x ) = 16 - x ^ { 2 } ; g ( x ) = 4 - x$$
Find $f + g$ .

• A) \(( f + g ) ( x ) = x ^ { 3 } - 4 x ^ { 2 } - 16 x + 64\); all real numbers
• B) \(( f + g ) ( x ) = - x ^ { 2 } - x + 20 ; \{ x \mid x \neq 4 , x \neq - 5 \}\)
• C) \(( f + g ) ( x ) = 4 + x ; \{ x \mid x \neq - 4 \}\)
• D) \(( f + g ) ( x ) = - x ^ { 2 } + x + 12\); all real numbers

---

Definitions:

Average Accounting Rate

A financial metric that represents the average rate of return earned on investments or assets, based on accounting values.

Net Income

The total profit of a company after all expenses, including taxes and operational costs, have been deducted from total revenues.

Up-front Costs

Initial expenses required to start a project, product, or service before any financial return is seen.

Discounted Payback Period

The time required to recoup the cost of an investment while considering the time value of money, typically shorter than simple payback period.