What is the domain of 1/(sqrt(x)-2) ?

The domain of 1/(sqrt(x)-2) is 0 4

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domain of 1/(sqrt(x)-2)

domain

\frac{1}{x - 2}

0 \leq x < 4 or x > 4

Solution steps

Find non-negative values for radicals:

x \geq 0

Find undefined (singularity) points:

x = 4

Combine real regions and undefined points for final function domain

0 \leq x < 4 or x > 4

y = \frac{10 + x}{1 - x}

\frac{7}{x ^{2}}

f (x) = x^{2} - 6 x + 9

g (x) = x^{2} + 6 x + 7

x^{2} - 5

What is the domain of 1/(sqrt(x)-2) ?
The domain of 1/(sqrt(x)-2) is 0<= x<4\lor x>4