Find $f \circ g$ $$f ( x ) = x + 4 \quad g ( x ) = \frac { 3 } { x ^ { 2 } - 16 }$$

question 54

Multiple Choice

Find $f \circ g$ .
$$f ( x ) = x + 4 \quad g ( x ) = \frac { 3 } { x ^ { 2 } - 16 }$$

• A) \(( f \circ g ) ( x ) = \frac { 3 } { x ^ { 2 } }\)
• B) \(( f \circ g ) ( x ) = \frac { 3 } { x ^ { 2 } + 8 x }\)
• C) \(( f \circ g ) ( x ) = \frac { 4 x ^ { 2 } - 1 } { x ^ { 2 } - 16 }\)
• D) \(( f \circ g ) ( x ) = \frac { 7 } { x ^ { 2 } - 16 }\)
• E) \(( f \circ g ) ( x ) = \frac { 4 x ^ { 2 } - 61 } { x ^ { 2 } - 16 }\)

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Definitions:

Recessive

A genetic characteristic that is expressed in an organism's phenotype only when two copies of the gene responsible for the trait are present.

Phenotype

The observable physical or biochemical characteristics of an organism, as determined by both genetic makeup and environmental influences.

Homozygous

Referring to an individual having two identical alleles for a particular gene or trait.

Genotype

The genetic makeup of an organism, consisting of both visible and non-visible traits, which lays the foundation for the organism's phenotype.