Which Statement(s)verify That $f ( x ) = 9 x - 1$

question 10

Multiple Choice

Which statement(s) verify that $f ( x ) = 9 x - 1$ and $g ( x ) = \frac { 1 } { 9 } ( x + 1 )$ are inverse?

• A) \(f ( x ) \cdot g ( x ) = ( 9 x - 1 ) \frac { 1 } { 9 } ( x + 1 ) = - 1\)
• B) \(f ( g ( x ) ) = \left( 9 \left( \frac { 1 } { 9 } x \right) + 1 \right) - 1 = x , g ( f ( x ) ) = \frac { 1 } { 9 } ( 9 ( x - 1 ) + 1 ) = x\)
• C) \(f ( g ( x ) ) = \left( 9 \left( \frac { 1 } { 9 } x \right) + 1 \right) - 1 = x ; g ( f ( x ) ) = \frac { 1 } { 9 } ( ( 9 x - 1 ) + 1 ) = x\)
• D) \(f ( g ( x ) ) = 9 \left( \frac { 1 } { 9 } ( x + 1 ) \right) - 1 = x ; g ( f ( x ) ) = \frac { 1 } { 9 } ( ( 9 x - 1 ) + 1 ) = x\)
• E) \(\frac { f ( x ) } { g ( x ) } = \frac { 9 ( x - 1 ) } { 9 ( x + 1 ) } = - 1\)

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Definitions:

Inflation

A general increase in prices and fall in the purchasing value of money.

Disposable Income

The amount of money individuals have available to spend and save after taxes have been deducted from their income.

Economize

The action of reducing expenditure or efficiently managing resources to avoid waste and save money.

Foreclose

The legal process by which a lender takes control of a property from a borrower due to failure to meet the repayment terms of a loan.