Find the Domain x^2=1/5y

Problem

x2=1/5*y

Solution

1. Rewrite the equation to solve for y in terms of x to identify the function type.

5*x2=y

2. Identify the type of function.

y=5*x2

The expression is a polynomial (specifically a quadratic function).

3. Determine any restrictions on the input variable x
   Polynomials are defined for all real numbers because there are no denominators containing x that could be zero and no square roots of negative values.

4. State the domain in interval notation.
   The domain includes all values from negative infinity to positive infinity.

(−∞,∞)

Final Answer

Domain of *x2=1/5*y* is *(−∞,∞)

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