What is the domain of sqrt(x^2+x+1)-sqrt(x^2-x-12)+2 ?

The domain of sqrt(x^2+x+1)-sqrt(x^2-x-12)+2 is x = 4

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domain of sqrt(x^2+x+1)-sqrt(x^2-x-12)+2

domain

x^{2} + x + 1 - x^{2} - x - 12 + 2

x \leq - 3 or x \geq 4

Interval Notation

(- \infty, - 3] \cup [4, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 3 or x \geq 4

The function domain

x \leq - 3 or x \geq 4

f (x) = \frac{1}{2} (x^{3} - 3 x + 7)

\frac{11250 + 180 x ^{3}}{x}

y = 5 x^{3} - 5 x + 1

3 x^{2} + 9, 0 \leq x \leq 2

What is the domain of sqrt(x^2+x+1)-sqrt(x^2-x-12)+2 ?
The domain of sqrt(x^2+x+1)-sqrt(x^2-x-12)+2 is x<=-3\lor x>= 4