What is the domain of f(x)=sqrt(3-x)-sqrt(x^2-1) ?

The domain of f(x)=sqrt(3-x)-sqrt(x^2-1) is x<=-1\lor 1<= x<= 3

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domain of f(x)=sqrt(3-x)-sqrt(x^2-1)

domain

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

x \leq - 1 or 1 \leq x \leq 3

Interval Notation

(- \infty, - 1] \cup [1, 3]

Solution steps

Find non-negative values for radicals:

x \leq - 1 or 1 \leq x \leq 3

The function domain

x \leq - 1 or 1 \leq x \leq 3

\frac{2 x}{- 9 x ^{2} + 324}

f (x) = \frac{( 9 x + 99 )}{11 x}

\frac{x + 4}{2}

3 x + 2 y = 5, at (- 2 - 7)

f (x) = \frac{2}{1 - x}

What is the domain of f(x)=sqrt(3-x)-sqrt(x^2-1) ?
The domain of f(x)=sqrt(3-x)-sqrt(x^2-1) is x<=-1\lor 1<= x<= 3