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

1 Answer

Jun 6, 2015

The domain of a function is all the values that #x# can take (in order to avoid having something like #a/0#, which isn't defined).

In your case, #x^2+5 > 0# with #x in RR#; therefore, there is no way you could have a division by zero.

Thus, the domain #D = RR# or, in interval notation, #D = ]-oo;+oo[#.

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