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

question 130

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

---

Definitions:

12-volt Batteries

Rechargeable electrical storage devices commonly used in vehicles and various electronic systems, providing 12 volts of direct current.

Alessandro Volta

An Italian physicist known for the invention of the voltaic pile, considered one of the first electrical batteries.

Pure Sulfuric Acid

Sulfuric acid with no impurities, highly corrosive and typically used industrially in concentrated form for chemical synthesis or processing.

Tap Water

Water supplied to a residential or commercial area through a system of pipes and taps, generally suitable for drinking and other domestic purposes.