Find the domain and range of the function.
-$$F ( t ) = \frac { 10 } { 9 \sqrt { t } }$$
A) D: $( - \infty , 0 )$, R: $( - \infty , 0 )$
B) D: $( - \infty , \infty )$, R: $( - \infty , \infty )$
C) D: $[ 0 , \infty ) , R : [ 0 , \infty )$
D) D: $( 0 , \infty ) , R : ( 0 , \infty )$

Question

Quizplus · Accepted Answer

The function involves a square root of t in the denominator, so t cannot be negative or 0. Therefore, the domain is (0, ∞).
For the range, as t approaches infinity, the denominator approaches 0, so the function value becomes very large (in absolute value) and negative. As t approaches 0 from the right, the denominator approaches infinity and the function value approaches positive infinity. Therefore, the range is (0, ∞).

Find the Domain and Range of the Function F(t)=109tF ( t ) = \frac { 10 } { 9 \sqrt { t } }F(t)=9t​10​

Find the Domain and Range of the Function $F ( t ) = \frac { 10 } { 9 \sqrt { t } }$