Word Count : 228

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To show that the function ( f:\mathbb{R} \to \mathbb{R} ) defined by ( f(x) = 2x + 7 ) has an inverse using the inverse function theorem, we proceed as follows: The inverse function theorem states that if ( f ) is differentiable at a _____ _____ __________ ______ ____ ________ _____ ________ _____ ________ _____.
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