Find the 4-lx-3l domain of the function y = root Y = absolute value of 4 - (x-3) under root sign The absolute values of 4 - (x-3) are all under the root sign

Find the 4-lx-3l domain of the function y = root Y = absolute value of 4 - (x-3) under root sign The absolute values of 4 - (x-3) are all under the root sign

Find 4 - | x-3 | domain under y = root
4-|x-3|≥0
|x-3|≤4
When x ≥ 3, x-3 ≤ 4, X ≤ 7, then 3 ≤ x ≤ 7
When x ≤ 3, - (x-3) ≤ 4, x-3 ≥ - 4, X ≥ - 1, - 1 ≤ x ≤ 3
In conclusion - 1 ≤ x ≤ 7