For the Given Rational Functions F(x) and G(x), F(x) -G(x) $$f ( x ) = \frac { 3 x ^ { 2 } + 12 } { x ^ { 2 } + 3 x - 4 } , g ( x ) = \frac { 13 x } { x ^ { 2 } + 3 x - 4 }$$

question 128

Multiple Choice

For the given rational functions f(x) and g(x) , f(x) -g(x) .
- $$f ( x ) = \frac { 3 x ^ { 2 } + 12 } { x ^ { 2 } + 3 x - 4 } , g ( x ) = \frac { 13 x } { x ^ { 2 } + 3 x - 4 }$$

• A) \(\frac { ( x + 3 ) ( 3 x + 4 ) } { ( x + 4 ) ( x - 1 ) }\)
• B) \(\frac { ( x - 3 ) ( 3 x + 4 ) } { ( x + 4 ) ( x - 1 ) }\)
• C) \(\frac { ( x - 3 ) ( 3 x - 4 ) } { ( x + 4 ) ( x - 1 ) }\)
• D) \(\frac { 3 x - 4 } { x - 1 }\)

---

Definitions:

Bailment

A legal relationship where physical possession of personal property is transferred from one person to another under the agreement that the property will be returned or otherwise disposed of according to the owner's instructions.

Accession

Accession is the act of agreeing to or adhering to an international treaty or the process of adding to one's possessions or territory.

Increase Value

To enhance the worth or price of something through improvements or through natural economic factors.

Diamond

A precious gemstone made of crystallized carbon, known for its extreme hardness and light-reflecting qualities.