Find the Domain of the Rational Function $h ( t ) = \frac { 10 t ^ { 2 } } { t ^ { 2 } - 4 t - 45 }$

question 135

Multiple Choice

Find the domain of the rational function. $h ( t ) = \frac { 10 t ^ { 2 } } { t ^ { 2 } - 4 t - 45 }$

• A) \(( - \infty , 0 ) \cup ( 0 , \infty )\)
• B) \(( - \infty , \infty )\)
• C) \(( - \infty , - 5 ) \cup ( - 5,0 ) \cup ( 0 , \infty )\)
• D) \(( - \infty , 0 ) \cup ( 0,9 ) \cup ( 9 , \infty )\)
• E) \(( - \infty , - 5 ) \cup ( - 5,9 ) \cup ( 9 , \infty )\)

---

Definitions:

Infant-caregiver Attachment

The emotional bond that forms between an infant and their primary caregiver, influencing the child's social and emotional development.

Developmental Benefits

Positive impacts on growth, skill acquisition, and psychological maturing that result from certain activities, experiences, or therapies during a person’s developmental stages.

Parental Sensitivity

A parent's ability to perceive and respond appropriately to their child's needs, emotions, and signals.

Attachment Relations

The emotional bonds between individuals, particularly between a child and caregiver, that are critical for the child's personal development.