What is the domain of (sqrt(x^2+25))/x ?

The domain of (sqrt(x^2+25))/x is x 0

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domain of (sqrt(x^2+25))/x

domain

\frac{x ^{2} + 25}{x}

x < 0 or x > 0

Interval Notation

(- \infty, 0) \cup (0, \infty)

Solution steps

Find non-negative values for radicals:

- \infty < x < \infty

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x < 0 or x > 0

f (x) = x^{4} - 2 x^{3}

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

\frac{4}{x + 7}

f (t) = sin (2 t - \frac{π}{3}) + 1

(12.13) (0.4)

What is the domain of (sqrt(x^2+25))/x ?
The domain of (sqrt(x^2+25))/x is x<0\lor x>0