What is the domain of sqrt(x^2+3x-28) ?

The domain of sqrt(x^2+3x-28) is x = 4

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domain of sqrt(x^2+3x-28)

domain

x^{2} + 3 x - 28

x \leq - 7 or x \geq 4

Interval Notation

(- \infty, - 7] \cup [4, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 7 or x \geq 4

The function domain

x \leq - 7 or x \geq 4

f (x) = \frac{3 x}{2 x ^{2} - 18}

f (x) = \frac{2 x - 5}{- 5 x + 37}

f (x) = lo g_{3} (4 \cdot 3^{x - 1} - 1)

\frac{x + 4}{x + 6}

f (x) = 18 - 3 x

What is the domain of sqrt(x^2+3x-28) ?
The domain of sqrt(x^2+3x-28) is x<=-7\lor x>= 4