For the Given Functions F and G, Find the Requested $$f ( x ) = x + 6 ; g ( x ) = 7 x ^ { 2 }$$

question 136

Multiple Choice

For the given functions f and g, find the requested function and state its domain.
- $$f ( x ) = x + 6 ; g ( x ) = 7 x ^ { 2 }$$
Find $f + g$ .

• A) \(( f + g ) ( x ) = 7 x ^ { 2 } + x + 6 ; \{ x \mid x \neq - 6 \}\)
• B) \(( f + g ) ( x ) = 7 x ^ { 2 } + x + 6\); all real numbers
• C) \(( f + g ) ( x ) = 7 x ^ { 2 } - x - 6\); all real numbers
• D) \(( f + g ) ( x ) = - 7 x ^ { 2 } + x + 6\); all real numbers

---

Definitions:

Centration

The cognitive tendency in early childhood to focus on one salient aspect of a situation while neglecting other possibly relevant aspects.

Conservation

In environmental science, the preservation, protection, or restoration of the natural environment and wildlife; in cognitive development, a term introduced by Piaget referring to the understanding that certain properties of objects remain the same despite changes in their form or appearance.

Egocentrism

A cognitive trait where an individual has difficulty understanding or assuming any perspective other than their own.

Assimilation

The cognitive process by which new information is integrated into existing schemas or frameworks, helping individuals to understand and interact with the world around them.