Evaluate the radical function at the given value of the variable.
-$$f ( x ) = 3 - 5 \sqrt [ 4 ] { 3 t + 12 }$$
A) $( - \infty , \infty )$
B) $[ 4 , \infty )$
C) $( - \infty , - 4 )$
D) $[ - 4 , \infty )$

Question

Quizplus · Accepted Answer

To find the domain of a radical function, we need to ensure that the radicand (the expression inside the radical) is greater than or equal to zero. 
In this case, we have: 
$$3t + 12 \geq 0$$
$$t \geq -4$$
Therefore, the domain of the function is all numbers greater than or equal to -4, which is represented by the interval $[-4,\infty)$. Therefore, the answer is choice D.

Evaluate the Radical Function at the Given Value of the Variable