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

question 14

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:

Standard Deviation

A measure that is used to quantify the amount of variation or dispersion of a set of data values from the mean.

Distribution

The way in which something is shared out among a group or spread over an area, or the arrangement of values of a variable showing their observed or theoretical frequency of occurrence.

Variance

A statistical measure of dispersion that shows how much values in a data set differ from the mean.

Standard Deviation

A statistical measure that quantifies the amount of variation or dispersion of a set of data values from the mean, used to assess the spread of a data distribution.