Find the domain of the function f(x) = $$1\over x + 2$$.

Solution :

We have, f(x) = $$1\over x + 2$$

Clearly f(x) assumes real values for all real values for all x except for the values of x satisfying x + 2 = 0  i.e. x = -2.

Hence, Domain(f) = R – {-2}

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