Find inverse functions by solving f(x)=c for simple invertible functions and writing inverse expressions.
List reflected inverse key points
Problem
Reflect the plotted points \((1,4)\), \((2,7)\), and \((3,10)\) across \(y=x\) to obtain inverse key points. State the coordinate rule, list the reflected points, verify the sampled domain-range exchange, and determine whether any point is fixed.
Reflecting inverse key points across the line y equals x means swapping coordinates without changing their signs. We’ll apply that rule to every sampled point, verify that the sampled input and output sets exchange roles, and check separately whether any point already lies on the reflection line.
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