Evaluate the radical function at the given value of the variable.
-$$f ( x ) = 5 + 2 \sqrt [ 6 ] { 3 t - 48 }$$
A) $[ 16 , \infty )$
B) $( - \infty , \infty )$
C) $( - \infty , 16 )$
D) $[ - 16 , \infty )$

Question

Quizplus · Accepted Answer

The domain of the function is determined by the requirement that the expression under the sixth root, $3t - 48$, must be greater than or equal to zero. Solving $3t - 48 \geq 0$ gives $t \geq 16$, which corresponds to the interval $[16, \infty)$.

Evaluate the Radical Function at the Given Value of the Variable