What is the domain of f(x)=(sqrt(5-x))+(sqrt(x^2-4)) ?

The domain of f(x)=(sqrt(5-x))+(sqrt(x^2-4)) is x<=-2\lor 2<= x<= 5

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domain of f(x)=(sqrt(5-x))+(sqrt(x^2-4))

domain

f (x) = (5 - x) + (x^{2} - 4)

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

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

f (x) = 2 x - 44

f (x) = \frac{6}{x - 4}

f (x) = 5 + (4 + x)^{\frac{1}{2}}

f (x) = x^{2} + 8 x + 6

What is the domain of f(x)=(sqrt(5-x))+(sqrt(x^2-4)) ?
The domain of f(x)=(sqrt(5-x))+(sqrt(x^2-4)) is x<=-2\lor 2<= x<= 5