Find two functions defined implicitly by the given relations:

Question

(a) 3x² - y² = 25
(b) y² = x

Answer 1

Isolate y on the left-hand side, and solve for y.

I'll do the first one.

(a) 3x²-y²=25
-y²=25-3x²
y²=3x²-25
y = √(3x²-25)