Problem

Find the inverse of the relation \( y = 2x^3 + 3 \)

Answer

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Answer

Step 4: Take the cube root of both sides to solve for \(y\). This gives us \(y = \sqrt[3]{\frac{x - 3}{2}}\)

Steps

Step 1 ：Step 1: Swap \(x\) and \(y\). This gives us \(x = 2y^3 + 3\)

Step 2 ：Step 2: Solve for \(y\). Subtract 3 from both sides to get \(x - 3 = 2y^3\)

Step 3 ：Step 3: Divide both sides by 2 to isolate \(y^3\). This gives us \(y^3 = \frac{x - 3}{2}\)

Step 4 ：Step 4: Take the cube root of both sides to solve for \(y\). This gives us \(y = \sqrt[3]{\frac{x - 3}{2}}\)

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