What is the domain of sqrt(x^2-x+6) ?

The domain of sqrt(x^2-x+6) is -infinity <x<infinity

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domain of sqrt(x^2-x+6)

domain

x^{2} - x + 6

- \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

\frac{3 x ^{2} + 1}{4}

f (x) = f (x) = 3 x + 7

\frac{x ^{2}}{x ^{4} + 3}

f (x) = - x + 4 x

f (x) = - 4 x - 51

What is the domain of sqrt(x^2-x+6) ?
The domain of sqrt(x^2-x+6) is -infinity <x<infinity