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

y = - 6 x + 5

2 x^{2} + 4 x - 3

f (x) = - \frac{1}{x}

x^{\frac{5}{2}} - 6 x^{2}

f (x) = 3 x^{2}

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