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

The domain of f(x)=sqrt(x)+3/(x^2-1) is 0 1

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

domain

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

0 \leq x < 1 or x > 1

Interval Notation

Solution steps

Find non-negative values for radicals:

x \geq 0

Find undefined (singularity) points:

x = 1, x = - 1

Combine real regions and undefined points for final function domain

0 \leq x < 1 or x > 1

8 x + 1

f (x) = 3 5 x - 2

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

f (x) = 3 5 x - 1

f (x) = \frac{1}{x - 5} + x^{2} - 9

What is the domain of f(x)=sqrt(x)+3/(x^2-1) ?
The domain of f(x)=sqrt(x)+3/(x^2-1) is 0<= x<1\lor x>1