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Express each implicit relation as an explicit function of x: (i) x*y = 1 and (ii) x² * y = 1.

1. (i) y = 1/x; (ii) y = 1/x²
2. (i) y = x; (ii) y = x²
3. (i) y = 1/x²; (ii) y = 1/x
4. (i) y = -1/x; (ii) y = -1/x²

Correct answer: (i) y = 1/x; (ii) y = 1/x²

Solution

Isolate y to convert the implicit form into y = f(x).

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