Answer:
(-∞, 0]
Explanation:
You want the x-intercepts of a function that is zero for x ≤ 0 and 3/2x for x > 0.
X-intercepts
The x-intercepts are the values of x for which a function has the value 0. Here, that is the case for all values of x less than or equal to zero. In interval notation, the x-intercepts are ...
(-∞, 0] . . . . . . non-positive values of x