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:

Ninhydrin

A chemical used primarily in forensic science to detect amines in fingerprints, producing a distinctive blue or purple color.

Biosynthesis

The process by which living organisms produce complex compounds from simpler ones, often involving enzyme catalysis.

Strecker Synthesis

A chemical synthesis method for producing amino acids by reacting an aldehyde with ammonium chloride and potassium cyanide.

Tryptophan

An essential amino acid used by the body to produce serotonin and melatonin, found in various protein-rich foods.