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

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

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

domain

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

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

Interval Notation

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

f (x) = - 2 sin (\frac{π}{6} x + 4) + 4

\frac{7 x + 9}{81 x ^{4} - 16}

f (x) = 1 - ∣ x - 3 ∣

\frac{5 x + 1}{x}

f (x) = 2^{x - 4} + 3

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