Perform the Requested Operation or Operations $$f ( x ) = 2 x + 7 , g ( x ) = 6 x ^ { 2 }$$

question 9

Multiple Choice

Perform the requested operation or operations. Find the domain of each.
- $$f ( x ) = 2 x + 7 , g ( x ) = 6 x ^ { 2 }$$
Find $( \mathrm { fg } ) ( \mathrm { x } )$ .

• A) \(12 x ^ { 3 } + 42 x ^ { 2 }\); domain: \(( - \infty , \infty )\)
• B) \(12 x + 42\); domain: \(( - \infty , \infty )\)
• C) \(6 x ^ { 2 } + 2 x + 7\); domain: \(( - \infty , \infty )\)
• D) \(12 x ^ { 2 } + 42 x\); domain: \(( - \infty , \infty )\)

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Definitions:

Reliability

The consistency and stability of measurements or assessments over time.

Validity

The degree to which a tool, test, or measure accurately represents or measures what it claims to.

Variability

The extent to which data points in a set differ from each other and from the average, indicating the spread or dispersion.

Reactivity

The tendency of participants to change their behavior due to the awareness of being observed or studied.