The domain is the set of all allowable x-values.
I am assuming that you mean: (-x + 3/2)1/4
The fourth root is defined for real numbers only for zero and positive numbers, so we need to find when
-x + 3/2 ≥ 0
-x ≥ -3/2
Now, multiply both sides by -1, and change the direction of the inequality because you are multipling by a negative number:
x ≤ 3/2
The domain is the set of all allowable x-values.
I am assuming that you mean: (-x + 3/2)1/4
The fourth root is defined for real numbers only for zero and positive numbers, so we need to find when
-x + 3/2 ≥ 0
-x ≥ -3/2
Now, multiply both sides by -1, and change the direction of the inequality because you are multipling by a negative number:
x ≤ 3/2