Find the domain and range of the function.
-$$F ( t ) = \frac { 6 } { \sqrt { t } }$$
A) D: $( - \infty , \infty ) , R : ( - \infty , \infty )$
B) D: $[ 0 , \infty ) , \mathrm { R } : ( - \infty , \infty )$
C) D: $( - \infty , 0 ) , \mathrm { R } : ( - \infty , 0 )$
D) D: $( 0 , \infty ) , \mathrm { R } : ( 0 , \infty )$

Question

Quizplus · Accepted Answer

- The function is defined for all positive values of t since a negative value would give us an imaginary number under the square root. So, the domain is (0, ∞).
- The output of the function is 6 divided by the square root of t. And since the square root of any positive number is also positive, the function will always output positive values. So, the range is also (0, ∞). 
Therefore, the correct choice is D.

Find the Domain and Range of the Function F(t)=6tF ( t ) = \frac { 6 } { \sqrt { t } }F(t)=t​6​

Find the Domain and Range of the Function $F ( t ) = \frac { 6 } { \sqrt { t } }$