For the Given Functions F and G, Find the Requested $f ( x ) = \sqrt { x } ; g ( x ) = 5 x - 8$

question 140

Multiple Choice

For the given functions f and g, find the requested function and state its domain.
- $f ( x ) = \sqrt { x } ; g ( x ) = 5 x - 8$
Find $\frac { \mathrm { f } } { \mathrm { g } }$ .

• A) \(\left( \frac { f } { g } \right) ( x ) = \frac { 5 x - 8 } { \sqrt { x } } ; \{ x \mid x \geq 0 \}\)
• B) \(\left( \frac { f } { g } \right) ( x ) = \frac { \sqrt { x } } { 5 x - 8 } ; \left\{ x \mid x \geq 0 , x \neq \frac { 8 } { 5 } \right\}\)
• C) \(\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } ) = \frac { \sqrt { \mathrm { x } } } { 5 \mathrm { x } - 8 } ; \left\{ \mathrm { x } \mid \mathrm { x } \neq \frac { 8 } { 5 } \right\}\)
• D) \(\left( \frac { f } { g } \right) ( x ) = \frac { \sqrt { x } } { 5 x - 8 } ; \{ x \mid x \neq 0 \}\)

---

Definitions:

Sales Dollars

The revenue generated from goods or services sold, expressed in dollars.

Break-Even Point

The production level at which total revenues equal total expenses, resulting in no net loss or gain.

Fixed Costs

Expenses that do not change in relation to the volume of production or sales, such as rent, salaries, and insurance premiums.

Fixed Expenses

Costs that do not change with the level of company activity or production volume, such as rent or salaries.