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Could anyone calrify on how to find an inverse of a function please. examples would be helpful

Inverse of function calculator Answers and Explanation

Finding the inverse of a function is a straightforward process, but it can involve different approaches depending on the complexity of the function and whether you have an explicit formula or just a graph.

• Replace f(x) with y: y = f(x).

• Swap x and y: x = f(y).

• Swap x and y: y = 2x + 1.

• Solve for x: x = (y - 1) / 2.

• Reflect the graph across the line y = x (the "diagonal line").

• The reflected graph represents the inverse function, f⁻¹(x).

2. Solve for x: x = √y (remember, y is non-negative due to the original function)

3. Replace y with f⁻¹(x): f⁻¹(x) = √x