Question

Question

To what line will inverse functions be symmetric?(1 point)
Responses

y=2x
y equals 2 x

y=x
y equals x

y=−x
y equals negative x

y=logx

Answer 1

Inverse functions are symmetric about the line \( y = x \). This is because if \( (a, b) \) is a point on a function \( f(x) \), then \( (b, a) \) will be a point on its inverse \( f^{-1}(x) \). Therefore, the correct response is:

y = x