What is the domain of f(x)=(sqrt(1+x))/(sqrt(x^2-4)) ?

The domain of f(x)=(sqrt(1+x))/(sqrt(x^2-4)) is x>2

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domain of f(x)=(sqrt(1+x))/(sqrt(x^2-4))

domain

f (x) = \frac{1 + x}{x ^{2} - 4}

x > 2

Interval Notation

(2, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 2

Find undefined (singularity) points:

x = 2, x = - 2

Combine real regions and undefined points for final function domain

x > 2

\frac{x ^{3}}{x + 1}

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

f (x) = 10 x - 4

f (x) = \frac{x + 1}{x ^{2} - 4}

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

What is the domain of f(x)=(sqrt(1+x))/(sqrt(x^2-4)) ?
The domain of f(x)=(sqrt(1+x))/(sqrt(x^2-4)) is x>2