For the Given Functions F and G, Find the Requested $f ( x ) = \sqrt { x + 13 } ; g ( x ) = \frac { 4 } { x }$

question 177

Multiple Choice

For the given functions f and g, find the requested function and state its domain.
- $f ( x ) = \sqrt { x + 13 } ; g ( x ) = \frac { 4 } { x }$ Find f · g.

• A) \(( f \cdot g ) ( x ) = \frac { \sqrt { 4 x + 52 } } { x } ; \{ x \mid x \geq - 13 , x \neq 0 \}\)
• B) \(( f \cdot g ) ( x ) = \sqrt { \frac { 17 } { x } } ; \{ x \mid x \neq 0 \}\)
• C) \(( f \cdot g ) ( x ) = \frac { 4 \sqrt { x + 13 } } { x } ; \{ x \mid x \geq - 13 , x \neq 0 \}\)
• D) \(( f \cdot g ) ( x ) = \sqrt { \frac { 4 x + 52 } { x } } ; \{ x \mid x \geq - 13 , x \neq 0 \}\)

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Definitions:

Variation

Refers to the differences or deviations in data, characteristics, or occurrences.

Standard Deviation

A statistic that measures the dispersion or variation from the average for a set of data, indicating how spread out the data points are.

Consumer's Risk

The probability of accepting a batch of products that fails to meet quality standards during the sampling or inspection process, typically associated with Type II statistical errors.

Process Central Line

A line on a control chart representing the average or expected value of the process being monitored.