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Use the Definition of Inverses to Determine Whether F and G

question 343

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Use the definition of inverses to determine whether f and g are inverses.
- f(x)=3+xx,g(x)=3x1f ( x ) = \frac { 3 + x } { x } , \quad g ( x ) = \frac { 3 } { x - 1 }


Definitions:

Price Elasticity

A measure of how much the quantity demanded of a good responds to a change in the price of that good, expressed as a percentage.

Electricity Consumption

The amount of electrical energy used by households, businesses, and industries over a certain period, typically measured in kilowatt-hours (kWh).

Price Elasticity

A gauge of the extent to which the demand for a certain item is affected by fluctuations in its cost.

Electricity Consumption

The total amount of electric power used by consumers within a specific period.

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