Answer:
the domain after restriction is (-π/2 , + π/2) such that the function f(x)=csc x becomes invertible.
Step-by-step explanation:
the function f(x) is given by [tex]f(x)=\csc x[/tex]
The domain of [tex]\csc x[/tex] is all the real numbers except nπ where n belongs to integers,and range of [tex]\csc x[/tex] is (-∞ , -1] U [1 , + ∞) and it could be seen from the graph that it repeats this value infinte times.
in order to make the function invertible i.e. 1-1 and onto we restrict our domain in such a way that it takes these values exactly once i.e. there is a unique image of each x-value.
hence, the domain after restriction becomes:(-π/2 , + π/2).
