Write the domain of the rational function in interval notation. $$g ( t ) = \frac { 5 - t } { t ^ { 2 } + 4 }$$
A) $( - \infty , - 2 ) \cup ( - 2 , \infty )$
B) $( - \infty , 5 ) \cup ( 5 , \infty )$
C) $( - \infty , - 2 ) \cup ( - 2,2 ) \cup ( 2 , \infty )$
D) $( - \infty , \infty )$

Question

Quizplus · Accepted Answer

The denominator $t^2 + 4$ is never zero for any real number $t$, because $t^2$ is always non-negative, making $t^2 + 4$ always positive. Therefore, the domain is all real numbers.

Write the Domain of the Rational Function in Interval Notation g(t)=5−tt2+4g ( t ) = \frac { 5 - t } { t ^ { 2 } + 4 }g(t)=t2+45−t​

Write the Domain of the Rational Function in Interval Notation $g ( t ) = \frac { 5 - t } { t ^ { 2 } + 4 }$