How do you find the domain of f(x)=√3−xx+2?

1 Answer
Monzur R.
Dec 27, 2016

−2<x≤3

Explanation:

The domain of a function is all of the inputs for which the function is defined. The function is a fraction as well as square root. Of course, the denominator can't be zero, as the fraction would be undefined. So x≠−2

But also, since we have a square root, neither the denominator nor the numerator can be negative. So x≥3 and x>−2.

Bringing these two together, we can define the domain as −2<x≤3

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