Describe the Transformations and Give the Equation for the Graph $\left( \frac { f } { g } \right) ( - 5 )$

question 319

Multiple Choice

Describe the transformations and give the equation for the graph.
-Find $\left( \frac { f } { g } \right) ( - 5 )$ when $f ( x ) = 4 x - 2$ and $g ( x ) = 5 x ^ { 2 } + 14 x + 2$

• A) \(- \frac { 22 } { 57 }\)
• B) \(\frac { 5 } { 18 }\)
• C) \(\frac { 4 } { 57 }\)
• D) \(\frac { 5 } { 57 }\)

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Definitions:

Ethyne

A hydrocarbon compound with the formula C2H2, known as acetylene, used as a fuel and a building block in organic synthesis.

Dipole Moment

A measure of the polarity of a chemical bond within a molecule, quantifying the separation of positive and negative charges in a molecule.

IR Spectrum

A graphical display of infrared light absorption by molecules, useful for identifying functional groups and chemical bonds.

Bending Vibrations

Oscillations of atoms in a molecule about their equilibrium positions that change the angle between them without altering the molecule's bond lengths.