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Example 1: Finding the inverse of f(x) = 2x + 1.

A math tutorial slide showing the steps to find the inverse of the function f(x) = 2x + 1, with handwritten equations in red.

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Show Answer Key & Explanations Step-by-step solution for: Inverse Functions - Corbettmaths

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- Start with the function: f(x) = 2x + 1.
- Replace f(x) with y: y = 2x + 1.
- Swap x and y to find the inverse: x = 2y + 1.
- Solve for y:
- Subtract 1 from both sides: x - 1 = 2y.
- Divide both sides by 2: (x - 1)/2 = y.
- Replace y with f⁻¹(x): f⁻¹(x) = (x - 1)/2.

Parent Tip: Review the logic above to help your child master the concept of inverse operations questions.

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