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

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

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

domain

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

x > 1

Interval Notation

(1, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 1

Find undefined (singularity) points:

x = 1, x = - 1

Combine real regions and undefined points for final function domain

x > 1

3 x = 9

f (x) = \frac{1}{( x + 4 )}

f (x) = \frac{x ^{2} + 6 x - 8}{x - 8}

f (x) = (\frac{2}{x}) \cdot (\frac{x}{x + 2})

(7, 4), (9, - 1)

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