Invertible functions
Sets, relations and functions · Mathematics
Study notes
Q: Find the inverse of f(x) = (2x + 1)/3. Verify. Step 1: y = (2x+1)/3. Step 2: Swap: x = (2y+1)/3. Step 3: Solve: 3x = 2y + 1, y = (3x-1)/2. So f⁻¹(x) = (3x-1)/2. Verify: f(f⁻¹(5)) = f(7) = 15/3 = 5. ✓