Find $f \circ g$ And the Domain of the Composite Function $f ( x ) = \frac { 1 } { x } , g ( x ) = x + 7$

question 58

Multiple Choice

Find $f \circ g$ and the domain of the composite function.​ $f ( x ) = \frac { 1 } { x } , g ( x ) = x + 7$ ​

• A) \(\frac { 1 } { x } + 7\) Domain of \(f \circ g\) : all real numbers x except \(x = 0\)
• B) \(- \frac { 1 } { x + 7 }\) Domain of \(f \circ g\) : all real numbers x except \(x = - 7\)
• C) \(\frac { 1 } { x + 7 }\) Domain of \(f \circ g\) : all real numbers x except \(x = - 7\)
• D) \(\frac { 1 } { x } - 7\) Domain of \(f \circ g\) : all real numbers x except \(x = 0\)
• E) \(\frac { 1 } { x - 7 }\) Domain of \(f \circ g\) : all real numbers x except \(x = 7\)

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Definitions:

Equilibrium Price

The price at which the quantity of goods demanded by consumers equals the quantity of goods supplied by producers, leading to market stability.

Adverse Selection

A situation in which asymmetric information leads one party in a transaction to make unfavorable selections, often seen in insurance markets where individuals with higher risks are more likely to purchase insurance.

Insurance Product

A financial product sold by insurance companies to provide coverage against specific risks in exchange for premium payments.

Supply Curve

A visual chart depicting how the price of a product or service correlates with the amount available for supply over a specific time frame.