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

question 118

Multiple Choice

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.

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