What is the domain of sqrt(-x+5)+sqrt((x+2)(x-2)) ?

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

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domain of sqrt(-x+5)+sqrt((x+2)(x-2))

domain

- x + 5 + (x + 2) (x - 2)

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

Interval Notation

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

Solution steps

Find non-negative values for radicals:

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

The function domain

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

(3, - 4), (- 1, 10)

y = ln (2 x)

f (x) = 6 x - 2 y = 12

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

f (x) = x^{2} + 12 x + 11

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