For the Given Functions F and G, Find the Requested $$f ( x ) = 2 x + 5 ; g ( x ) = 6 x - 1$$

question 90

Multiple Choice

For the given functions f and g, find the requested function and state its domain.
- $$f ( x ) = 2 x + 5 ; g ( x ) = 6 x - 1$$
Find $\frac { f } { g }$ .

• A) \(\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } ) = \frac { 2 \mathrm { x } + 5 } { 6 \mathrm { x } - 1 } ; \left\{ \mathrm { x } \mid \mathrm { x } \neq \frac { 1 } { 6 } \right\}\)
• B) \(\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } ) = \frac { 2 \mathrm { x } + 5 } { 6 \mathrm { x } - 1 } ; \left\{ \mathrm { x } \mid \mathrm { x } \neq - \frac { 5 } { 2 } \right\}\)
• C) \(\left( \frac { f } { g } \right) ( x ) = \frac { 6 x - 1 } { 2 x + 5 } ; \left\{ x \mid x \neq - \frac { 5 } { 2 } \right\}\)
• D) \(\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } ) = \frac { 6 \mathrm { x } - 1 } { 2 \mathrm { x } + 5 } ; \left\{ \mathrm { x } \mid \mathrm { x } \neq \frac { 1 } { 6 } \right\}\)

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Definitions:

MM Model

The Modigliani-Miller theorem, proposing that in a perfect market, the value of a firm is unaffected by how it is financed, whether through debt or equity.

Financial Leverage

The use of borrowed funds with a fixed cost to enhance the potential return on investment.

Bankruptcy Risk

The risk that a company will be unable to meet its financial obligations and thus may have to declare bankruptcy.

Operating Leverage

A measure of how sensitive a company's operating income is to a change in revenue, indicating the level of fixed versus variable costs.