Question

Does the equation
y ^2 + x = 1

represents a function y in terms of x?

Answer 1

Answer:

Does the equation

y ^2 + x = 1

represents a function y in terms of x?

Step-by-step explanation:

not byy

Answer 2

Yes, the equation y² + x = 1 can represent a function of y in terms of x.

Given,

The equation y² + x = 1.

To Find,

Whether the given equation represents a function of y in terms of x or not.

Solution,

We have, y² + x = 1

Now, subtracting x on both sides, we get,

⇒ y² + x - x = 1 - x

⇒ y² = 1 - x

Taking square root on both sides,

⇒ √y² = √(1 - x)

⇒ y = √(1 - x)

Here, we can see that the above equation represents a function of y in terms of x.

Therefore, yes, the equation y² + x = 1 can represent a function of y in terms of x.

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