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Use the Functions Given By f(x)=127x5f ( x ) = \frac { 1 } { 27 } x - 5

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Use the functions given by f(x)=127x5f ( x ) = \frac { 1 } { 27 } x - 5 and g(x)=x3g ( x ) = x ^ { 3 } to find (fg)1( f \circ g ) ^ { - 1 } .


Definitions:

Friction Surfaces

Areas where two materials come into contact and movement between them is resisted by friction, important in braking systems and clutches.

Governor

A device used to regulate the speed of machinery by automatically adjusting the supply of fuel, steam, or other power source.

Brake Chambers

Components in air brake systems, primarily in heavy vehicles, where pressurized air is converted into mechanical force to apply the brakes.

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