Question

The graph of an inverse function can be obtained from the
corresponding graph of original function as a mirror image (i.e., reflection) along which line ?

• A. y = x
• B. y-axis
• C. y =- x
• D. x- axis

Answer 1

The correct option is A

y = x

the graph of sin^-1x function can be obtained from the graph of original

function by interchanging and axes, i.e., if (, ) is a point on the graph of sine function, then (, ) becomes the corresponding point on the graph of inverse of sine function. Thus, the graph of the function = sin^-1 can be obtained from the graph of = sin by interchanging and axes.

i.e The graph of an inverse function can be obtained from thecorresponding graph of original function as a mirror image (i.e., reflection) along the line y = x.This can be understood visually too from the graph of sin x and sin^-1x drawn on the same set of axes