What is the domain of sqrt((25-x^2)(x+2)) ?

The domain of sqrt((25-x^2)(x+2)) is x<=-5\lor-2<= x<= 5

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domain of sqrt((25-x^2)(x+2))

domain

(25 - x^{2}) (x + 2)

x \leq - 5 or - 2 \leq x \leq 5

Interval Notation

(- \infty, - 5] \cup [- 2, 5]

Solution steps

Find non-negative values for radicals:

x \leq - 5 or - 2 \leq x \leq 5

The function domain

x \leq - 5 or - 2 \leq x \leq 5

f (x) = e^{2 x} + 1

f (t) = 2 - 9 - t^{2}

f (x) = 1100 - 10 x

ln (5 - x^{2})

x + 6 - x

What is the domain of sqrt((25-x^2)(x+2)) ?
The domain of sqrt((25-x^2)(x+2)) is x<=-5\lor-2<= x<= 5