What is the inverse of the function f(x) = 2x + 1? h(x) = x – h(x) = x + h(x) = x – 2 h(x) = x + 2

Answer 1

To find the inverse of the function \( f(x) = 2x + 1 \), we will follow these steps:

1. Replace \( f(x) \) with \( y \): \[ y = 2x + 1 \]

2. Swap \( x \) and \( y \) to find the inverse: \[ x = 2y + 1 \]

3. Solve for \( y \): \[ x - 1 = 2y \] \[ y = \frac{x - 1}{2} \]

4. Thus, the inverse function \( f^{-1}(x) \) is: \[ f^{-1}(x) = \frac{x - 1}{2} \]

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