Question

Domain of sec^-1 x is 

A. [-1, 1] 

B. R – {0} 

C. R – [-1, 1] 

D. R – {-1, 1}

Answer 1

Correct Answer is (C) R – [-1, 1]

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 domain of  sec^-1(x)

From the graph, it is clear that the domain of sec^-1(x) is set of all real number excluding -1 and 1 i.e., R- [-1, 1]