Find the Function $f \cdot g$ And Its Domain If $f ( x ) = \sqrt { x + 7 }$

question 108

Multiple Choice

Find the function $f \cdot g$ and its domain if $f ( x ) = \sqrt { x + 7 }$ and
$g ( x ) = \sqrt { x - 7 }$ .0

• A) \(\sqrt { x ^ { 2 } - 49 }\)
• \(D = [ 7 , \infty )\)
• B) \(\sqrt { x ^ { 2 } - 49 }\)
• \(D = [ - 7 , \infty )\)
• C) \(\sqrt { x ^ { 2 } + 49 }\)
• \(D = [ - 7 , \infty )\)
• D) \(\sqrt { x ^ { 2 } + 49 }\)
• \(D = [ 7 , \infty )\)

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Definitions:

Phenotypic Plasticity

Phenotypic plasticity refers to changes in the phenotype produced by a single genotype in different environments.

Reaction Norm

Reaction norm refers to the pattern of phenotypic expression of a single genotype across a range of environments. In a sense, reaction norms depict how development maps the genotype into the phenotype as a function of the environment.

Genotype

Genotype describes the genetic makeup of an individual. Although a genotype includes all the alleles of all the genes in that individual, the term is often used to refer to the specific alleles carried by an individual for any particular gene.

Natural Selection

The process by which individuals with characteristics suited to their environment are more likely to survive and reproduce, thereby influencing the genetic makeup of populations.