Find $f \circ g$ And the Domain of the Composite Function $f ( x ) = \sqrt { x + 5 } , g ( x ) = x ^ { 2 }$

question 48

Multiple Choice

Find $f \circ g$ and the domain of the composite function.​ $f ( x ) = \sqrt { x + 5 } , g ( x ) = x ^ { 2 }$ ​

• A) \(( x + 5 ) ^ { 2 }\) Domain of \(f \circ g\) : all real numbers x
• B) \(\sqrt { x ^ { 2 } + 5 }\) Domain of \(f \circ g\) : all real numbers x
• C) \(- \sqrt { ( x + 5 ) ^ { 2 } }\) Domain of \(f \circ g\) : all real numbers x
• D) \(( x - 5 ) ^ { 2 }\) Domain of \(f \circ g\) : all real numbers x
• E) \(\sqrt { ( x - 5 ) ^ { 2 } }\) Domain of \(f \circ g\) : all real numbers x

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Definitions:

Marginal Tax Rates

The rate of tax applied to the next dollar of taxable income, which increases as income rises within progressive tax systems.

Dual-Earner Families

Dual-earner families are those where both partners in a household engage in paid employment.

Earnings Differential

The difference in wages or income between two groups due to various factors such as education, experience, or gender.

Marginal Productivity

The additional output that results from using one more unit of a factor of production, holding other factors constant.