Find Gof and the Domain of Composite Function $f ( x ) = x ^ { 2 } + 2 , \quad g ( x ) = \sqrt { x }$

question 47

Multiple Choice

Find gof and the domain of composite function.
$f ( x ) = x ^ { 2 } + 2 , \quad g ( x ) = \sqrt { x }$

• A) \(( x + 2 ) ^ { 2 }\)
• Domain of gof: all real numbers \(x\)
• B) \(( x - 2 ) ^ { 2 }\)
• Domain of \(g \circ f\) : all real numbers \(x\)
• C) \(\sqrt { x ^ { 2 } + 2 }\)
• Domain of \(g \circ f\) : all real numbers \(x\)
• D) \(\sqrt { ( x - 2 ) ^ { 2 } }\)
• Domain of gof: all real numbers \(x\)
• E) \(\sqrt { ( x + 2 ) ^ { 2 } }\)
• Domain of \(g \circ f :\) all real numbers \(x\)

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Definitions:

Wage Rate

The fixed amount of compensation paid to employees for their labor, typically expressed as a rate per hour.

Derived Demand

Defines the demand for a good or service that results from the demand for another good or service.

Equilibrium Wage

The wage rate at which the quantity of labor supplied equals the quantity of labor demanded.

Labor Demand Curve

A graphical representation showing the relationship between the wage rate and the quantity of labor that employers are willing to hire.