To Find: The Domain of

Here,the inverse function is given by y =

The graph of the function y = can be obtained from the graph of

Y = sec x by interchanging x and y axes.i.e, if (a,b) is a point on Y = sec x then (b,a) is the point on the function y =

Below is the Graph of the domain of

From the graph, it is clear that the domain of is a set of all real numbers excluding -1 and 1 i.e, R – [-1,1]