The composition transformation you've provided appears to involve a transformation defined by the rule \((x, y) \mapsto (x -, y -)\). However, the notation seems incomplete and needs clarification since it lacks specific values or functions to apply to \(x\) and \(y\).
To help you with the transformation rule, I will assume you might be looking at a specific type of transformation such as translation, reflection, rotation, or dilation.
Here are a few examples of common transformations that can be expressed in a composition-like format:
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Translation: If you're translating a point down and to the left by some amounts \(a\) and \(b\), the transformation would be: \[ (x, y) \mapsto (x - a, y - b) \]
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Reflection: If you're reflecting a point across the y-axis, for instance, the transformation would be: \[ (x, y) \mapsto (-x, y) \]
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Rotation: If you're rotating a point 90 degrees counterclockwise around the origin, the transformation would be: \[ (x, y) \mapsto (-y, x) \]
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Scaling: To scale a point by factors of \(k\) for both axes, the transformation would be: \[ (x, y) \mapsto (kx, ky) \]
Please clarify or provide additional specifics about your transformation for a more precise response.