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

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Definitions:

Amino Acids

Organic compounds that serve as the building blocks of proteins, containing both an amino group and a carboxyl group.

Three-Letter Sequences

In genetics, sequences of three nucleotides (triplets) in DNA or RNA that code for specific amino acids, the building blocks of proteins.

mRNA

Messenger RNA, a form of RNA responsible for transporting genetic instructions from DNA to the ribosome, the site of protein synthesis.

tRNA

Transfer RNA; a type of RNA that helps decode a messenger RNA (mRNA) sequence into a protein during protein synthesis.