Show that the function f : R fi R defined byF(X) = 2X + 7 has an inverse by applying the inverse function theorem. Find its inverse also.
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 need to verify two conditions:
1. Continuity of \(f\): The function \(f\) is continuous on its domain, which is \(\mathbb{R}\).
2. Injectivity of \(f\):
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