Write the domain of the function in interval notation. $$g ( y ) = \sqrt [ 4 ] { 6 y - 24 }$$
A) $[ 4 , \infty )$
B) $( - \infty , \infty )$
C) $( 4 , \infty )$
D) $( - \infty , 4 ]$

Question

Quizplus · Accepted Answer

The domain of the function $g(y) = \sqrt[4]{6y - 24}$ is determined by the requirement that the expression inside the fourth root, $6y - 24$, must be greater than or equal to 0 (since the fourth root of a negative number is not real). Solving $6y - 24 \geq 0$ gives $y \geq 4$, which corresponds to the interval $[4, \infty)$.

Write the Domain of the Function in Interval Notation g(y)=6y−244g ( y ) = \sqrt [ 4 ] { 6 y - 24 }g(y)=46y−24​

Write the Domain of the Function in Interval Notation $g ( y ) = \sqrt [ 4 ] { 6 y - 24 }$