What is the domain of ((sqrt(x+a^2)-a))/x ?

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

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domain of ((sqrt(x+a^2)-a))/x

domain

\frac{( x + a ^{2} - a )}{x}

x \geq - a^{2}

Solution steps

Find non-negative values for radicals:

x \geq - a^{2}

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x \geq - a^{2}

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