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If f(x) ={(x^(3)", " x lt1),(2x-1...

If ` f(x) ={(x^(3)", " x lt1),(2x-1", " x ge 1):} " and " g(x)={(3x", " x le2),(x^(2)", " x gt 2):} " then find " (f-g)(x).`

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To find \( (f - g)(x) \), we need to evaluate the functions \( f(x) \) and \( g(x) \) based on the given piecewise definitions, and then subtract \( g(x) \) from \( f(x) \) for each interval. ### Step-by-Step Solution: 1. **Define the Functions**: - The function \( f(x) \) is defined as: \[ f(x) = ...
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