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How do you find the domain in interval notation for #f(x)=(x^2+2x)/(x+1) #?

Answer 1

Hazel Anglin

The only "forbidden" value is #x!=-1# as this would make the numerator #=0#

#x# may have any other value.

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Answer 2

Julia Adams

To find the domain of the function ( f(x) = \frac{x^2 + 2x}{x + 1} ) in interval notation, you need to identify any values of ( x ) that would make the denominator ( x + 1 ) equal to zero. The domain will consist of all real numbers except those values that would result in division by zero. In this case, the denominator cannot be zero, so the domain is all real numbers except ( x = -1 ).

Therefore, the domain in interval notation is: ( (-\infty, -1) \cup (-1, \infty) ).

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Answer from HIX Tutor

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.