Concept explainers
Prove that graphs of a linear function and its inverse function are never perpendicular.
Explanation of Solution
Calculation:
A linear function :
It has slope
We find the inverse of
Interchange x and y , then solve for y :
So, its slope is
If two lines are perpendicular, then the product of their slope is -1.
Here,
So, the graphs of a linear function and its inverse function are never perpendicular.
Hence proved.
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Algebra and Trigonometry: Structure and Method, Book 2
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