What is the domain of sqrt(x^2-x+1) ?

The domain of sqrt(x^2-x+1) is -infinity <x<infinity

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domain of sqrt(x^2-x+1)

domain

x^{2} - x + 1

- \infty < x < \infty

Interval Notation

(- \infty, \infty)

Solution steps

Find non-negative values for radicals:

- \infty < x < \infty

The function has no undefined points nor domain constraints. Therefore, the domain is

- \infty < x < \infty

f (x) = \frac{x}{1 + x ^{2}}

3 x^{2} - 12 x

y = 2 x + 4

y = 5 - x

f (x) = \frac{4 x ^{2}}{x ^{2} - 9}

What is the domain of sqrt(x^2-x+1) ?
The domain of sqrt(x^2-x+1) is -infinity <x<infinity