Given Functions F and G, Perform the Indicated Operations $\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } )$

question 34

Multiple Choice

Given functions f and g, perform the indicated operations.
-Find the domain of $\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } )$ when $\mathrm { f } ( \mathrm { x } ) = 8 \mathrm { x } ^ { 2 } - 4 \mathrm { x }$ and $\mathrm { g } ( \mathrm { x } ) = \mathrm { x } ^ { 2 } - 8 \mathrm { x } - 6$ .

• A) Domain: \(( - \infty , 4 - \sqrt { 22 } ) \cup ( 4 - \sqrt { 22 } , 4 + \sqrt { 22 } ) \cup ( 4 + \sqrt { 22 } , \infty )\)
• B) Domain: \(( - \infty , \infty )\)
• C) Domain: \(( - \infty , 4 - \sqrt { 22 } ) \cup ( 4 - \sqrt { 22 } , \infty )\)
• D) Domain: \(( - \infty , 4 - \sqrt { 22 } ) \cap ( 4 - \sqrt { 22 } , 4 + \sqrt { 22 } ) \cap ( 4 - \sqrt { 22 } , \infty )\)

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Definitions:

Genes

Units of heredity made up of DNA that encode the instructions for the development, functioning, and reproduction of all known organisms.

Chromosomes

Chromosomes are long strands of DNA wrapped around proteins, located in the cell nucleus, containing genes that dictate hereditary traits.

Cesarean Section

A surgical procedure used to deliver a baby through incisions in the mother's abdomen and uterus.

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A method of delivering a baby through an incision in the mother's abdomen and uterus, commonly referred to as a Cesarean section (C-section).