How do you find the domain of x2?

1 Answer
Jun 19, 2016

All values of x smaller than or equal to -2 (or x2)

Explanation:

Domain of f(x) is always all values of x for which f(x)0 as if f(x) is negative, f(x) is no longer real.

Thus, here f(x)=x2

f(x)0 which means that x20

Adding 2 on both sides, we get
x2

If we multiply -1 on both sides, we'll have to reverse the sign of inequality, so this becomes

x2

Hence for all values of x smaller than or equal to -2, x2 will be real and hence, these values are the domain for this function.