What is the domain of y=sqrt(x^2+2x-15) ?

The domain of y=sqrt(x^2+2x-15) is x = 3

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domain of y=sqrt(x^2+2x-15)

domain

y = x^{2} + 2 x - 15

x \leq - 5 or x \geq 3

Interval Notation

(- \infty, - 5] \cup [3, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 5 or x \geq 3

The function domain

x \leq - 5 or x \geq 3

y = 7^{x}

y = \frac{x ^{2}}{x - 8}

\frac{900 - 2 x}{x - 30}

\frac{x}{4 1 - x ^{2}}

f (x) = \frac{9}{x + 11}

What is the domain of y=sqrt(x^2+2x-15) ?
The domain of y=sqrt(x^2+2x-15) is x<=-5\lor x>= 3