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Determine the domain of the function $f(x)={{x^2-5}\over{x+6}}$ by filling in the gaps and selecting the right statements.

The function $f(x)={{x^2-5}\over{x+6}}$ is undefined if the is to

because we by

.
This means the function is undefined when the equation

holds.
The solution(s) of this equation is/are

.
So, the domain of $f(x)$ is equal to .

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