What is the domain of g(x)=sqrt(x^2+5x+6) ?

The domain of g(x)=sqrt(x^2+5x+6) is x =-2

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domain of g(x)=sqrt(x^2+5x+6)

domain

g (x) = x^{2} + 5 x + 6

x \leq - 3 or x \geq - 2

Interval Notation

(- \infty, - 3] \cup [- 2, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 3 or x \geq - 2

The function domain

x \leq - 3 or x \geq - 2

y = \frac{x ^{5}}{3 x + 27}

\frac{3 x}{x ^{2} - 11 x + 24}

\frac{10 x}{6 - 2 x ^{2}}

s (t) = \frac{t}{t - 16}

\frac{x + 3}{2 x - 5}

What is the domain of g(x)=sqrt(x^2+5x+6) ?
The domain of g(x)=sqrt(x^2+5x+6) is x<=-3\lor x>=-2