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Consider f: R->Rgiven by f(x) = 4x + 3. ...

Consider `f: R->R`given by `f(x) = 4x + 3`. Show that `f` is invertible. Find the inverse of `f`.

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To show that the function \( f: \mathbb{R} \to \mathbb{R} \) defined by \( f(x) = 4x + 3 \) is invertible and to find its inverse, we can follow these steps: ### Step 1: Show that \( f \) is a one-to-one function. A function is invertible if it is one-to-one (injective). To prove that \( f \) is one-to-one, we need to show that if \( f(a) = f(b) \), then \( a = b \). Assume \( f(a) = f(b) \): \[ 4a + 3 = 4b + 3 ...
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