Answer:
Given,
y =
Now, Set can be represented in roaster form or set builder form.
Set builder form: In this form a statement is written within {} so that set is defined completely.
Now,
Domain of y = is all the values of for which,
6 - x 0
x -6 0
x 6
so, x ∈ (-∞, 6 ]
Now, In set builder form,
Domain of y = = { x : x is less than 6 }
Hence, domain of given function in set builder form is { x : x is less than 6 }.
