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

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

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

domain

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

x \leq - 1

Interval Notation

Solution steps

Find non-negative values for radicals:

x \leq - 1

The function domain

x \leq - 1

y = lo g_{2} (8 x)

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

\frac{2 x + 5}{x ^{3} - 8}

\frac{2}{r ^{2} + 1}

f (x) = 4 x^{2} + 7

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