# Find the domain of the function y = 1 / x ^ 2 + 4.

September 12, 2021 | education

| We have a function:

y = 1 / (x ^ 2 + 4).

To find it, note that the only restriction on the variable is its presence in the denominator of the fraction. Consider the denominator of the fraction.

x ^ 2 + 4 – the sum of the square of the variable (always a non-negative value) and a positive number – always takes a positive value, which means that there are no restrictions on the value of the variable. The scope of a function is any number.

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