Provide an appropriate response.
-Consider a linear function that is perpendicular to the line $y = x$. Will this function be its own inverse? Explain.
A) Yes it will be its own inverse. If it is perpendicular to $y = x$ it is symmetric with respect to $y = x$. Therefore it is its own inverse.
B) No it won't be its own inverse. Its inverse will be some other line that is perpendicular to it.
C) No it won't be its own inverse. The slope will be the same but the y-intercept will be different.
D) Yes it will be its own inverse. All perpendicular lines are their own inverses.

Question

Quizplus · Accepted Answer

A function that is perpendicular to $y = x$ and is symmetric with respect to $y = x$ is its own inverse because the roles of $x$ and $y$ can be swapped without changing the equation of the line.

Provide an Appropriate Response y=xy = xy=x Will This Function Be Its Own Inverse? Explain

Provide an Appropriate Response $y = x$ Will This Function Be Its Own Inverse? Explain