Given 4x-1=3x+3
First, get x on one side.
Do this by adding 1 to both sides.
4x-1+1=3x+3+1
You get: 4x=3x+3
Subtract 3x from both sides: x=3.
In general, the domain is the set of all x-values for the graph.
The issue here is that this isn't the graph of a function. A function has at most one y-value for each x-value and this graph has an infinite number of y-values for the single x-value of 1.
So, either your teacher is wanting you to say the domain is {1}, because that's the only x-value used by the graph, or they're wanting you to say this is a trick question, because this isn't the graph of a function.
The range is the set of all y-values, which is -9<y<9, but again, do they intend this to be a trick question?
Please see pic, I'd solved in it.
Its step 1 because it is negative(negative 8) :- that is plus 8