# How do you find the domain in interval notation for #f(x)=(x+6)/(x^2+5) #?

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To find the domain of the function ( f(x) = \frac{x + 6}{x^2 + 5} ) in interval notation, we need to identify any values of ( x ) that would make the denominator equal to zero. The denominator ( x^2 + 5 ) will be zero only if ( x^2 = -5 ). However, since there are no real numbers that satisfy this equation, the function has no restrictions on its domain. Therefore, the domain of ( f(x) ) in interval notation is ( (-\infty, \infty) ).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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