Word Count : 256

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To show that the function \( f(x) = 2x + 7 \) has an inverse using the Inverse Function Theorem, we follow these steps: ### Step 1: Check if \( f(x) \) is differentiable The function given is: \[ f(x) = 2x + 7 \] Since this is a linear function, it is differentiable everywhere on \( \mathbb{R} \). ### Step 2: Compute the ________ _______ __________ _________ ________ __________ ______ ___ ______.
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