What is the domain of sqrt(4-x)-sqrt(x^2-1) ?

The domain of sqrt(4-x)-sqrt(x^2-1) is x<=-1\lor 1<= x<= 4

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domain of sqrt(4-x)-sqrt(x^2-1)

domain

4 - x - x^{2} - 1

x \leq - 1 or 1 \leq x \leq 4

Interval Notation

Solution steps

Find non-negative values for radicals:

x \leq - 1 or 1 \leq x \leq 4

The function domain

x \leq - 1 or 1 \leq x \leq 4

f (x) = x^{3} - 27 x + 7

f (x) = 8^{- x}

y - 9 = \frac{3}{4} (x - 4)

f (x) = 1 + 8 x - 2 x^{3}

x^{3} - 6 x^{2} + 12 x + 4

What is the domain of sqrt(4-x)-sqrt(x^2-1) ?
The domain of sqrt(4-x)-sqrt(x^2-1) is x<=-1\lor 1<= x<= 4