Correct Answer is (C) \([0, \pi]-\{\frac{\pi}{2}\}\)
Here,the inverse function is given by y = f-1(x)
The graph of the function y = sec-1(x) 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 = sec-1(x)
Below is the Graph of the range of sec-1(x)

From the graph, it is clear that the range of sec-1(x) is restricted to interval
\([0, \pi]-\{\frac{\pi}{2}\}\)