Solve the Problem $f ( x ) = \left| - 5 x ^ { 3 } + 8 \right|$

question 230

Multiple Choice

Solve the problem.
-Given $f ( x ) = \left| - 5 x ^ { 3 } + 8 \right|$ , define $m , n , h$ , and $k$ such that $f ( x ) = ( m \circ n \circ h \circ k ) ( x )$ .

• A) \(m ( x ) = | x | , n ( x ) = x + 8 , h ( x ) = - 5 x , k ( x ) = x ^ { 3 }\)
• B) \(m ( x ) = | x | , n ( x ) = x + 8 , h ( x ) = x ^ { 3 } , k ( x ) = - 5 x\)
• C) \(m ( x ) = x ^ { 3 } , n ( x ) = - 5 x , h ( x ) = x + 8 , k ( x ) = | x |\)
• D) \(m ( x ) = x ^ { 3 } , n ( x ) = x + 8 , h ( x ) = - 5 x , k ( x ) = | x |\)

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Definitions:

AC Voltage Leakage

Unintended flow of alternating current (AC) outside its intended circuit path, which can pose safety hazards.

Maximum Allowable

The highest permissible limit or value for a parameter, often established for safety, performance, or regulatory reasons.

Pulse-Width Modulated

A modulation technique used to control the power delivered to an electrical device by varying the width of the pulses in a pulse train to adjust the volume, brightness, or speed of the device.

AC Voltmeter

An instrument used to measure the voltage of alternating current (AC) electrical circuits.