What is the domain of (sqrt(x))/(9x^2+8x-1) ?

The domain of (sqrt(x))/(9x^2+8x-1) is 0 1/9

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domain of (sqrt(x))/(9x^2+8x-1)

domain

\frac{x}{9 x ^{2} + 8 x - 1}

0 \leq x < \frac{1}{9} or x > \frac{1}{9}

Interval Notation

[0, \frac{1}{9}) \cup (\frac{1}{9}, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 0

Find undefined (singularity) points:

x = \frac{1}{9}, x = - 1

Combine real regions and undefined points for final function domain

0 \leq x < \frac{1}{9} or x > \frac{1}{9}

What is the domain of (sqrt(x))/(9x^2+8x-1) ?
The domain of (sqrt(x))/(9x^2+8x-1) is 0<= x< 1/9 \lor x> 1/9