STEP - BY - STEP EXPLANATION
What to find?
Domain restrictions allow an inverse function.
Given:
Step 1
Determine the vertex of the function.
The vertex is (-1, 4)
Step 2
Using h =-1, it implies one of the restriction domain is x ≥ -1
Observe from the graph that, the other restriction domain is 0 ≤ x ≤ 3
ANSWER
x ≥ -1
0 ≤ x ≤ 3