Find Functions F and G So That F ° G $$H ( x ) = \frac { 1 } { x ^ { 2 } - 6 }$$

question 404

Multiple Choice

Find functions f and g so that f ° g = H.
- $$H ( x ) = \frac { 1 } { x ^ { 2 } - 6 }$$

• A) \(f ( x ) = \frac { 1 } { x } ; g ( x ) = \frac { 1 } { x ^ { 2 } } - 9\)
• B) \(f ( x ) = \frac { 1 } { x ^ { 2 } } - 9 ; g ( x ) = \frac { 1 } { x }\)
• C) \(f ( x ) = x ^ { 2 } - 6 ; g ( x ) = \frac { 1 } { x }\)
• D) \(f ( x ) = \frac { 1 } { x } , g ( x ) = x ^ { 2 } - 6\)

---

Definitions:

Biopsy

A medical test involving the removal of cells or tissues for examination to diagnose diseases.

Needle

A thin, pointed piece of metal with an eye for thread at one end, used in sewing, or a very thin, sharp metal tube used in medical procedures.

Muscle

A tissue in the body of animals that is capable of contracting and causing movement or maintaining a position.

Ligaments

Tough, elastic bands of tissue that connect bones or cartilage, providing support and limiting movement.