What is the domain of 1/(sqrt(x)-4) ?

The domain of 1/(sqrt(x)-4) is 0 16

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domain of 1/(sqrt(x)-4)

domain

\frac{1}{x - 4}

0 \leq x < 16 or x > 16

Interval Notation

Solution steps

Find non-negative values for radicals:

x \geq 0

Find undefined (singularity) points:

x = 16

Combine real regions and undefined points for final function domain

0 \leq x < 16 or x > 16

\frac{3 x}{4 x - 3}

\frac{x ^{2} + 3 x - 10}{( x + 1 ) ( x - 3 ) ( x + 5 )}

- 3 + 2 (x + 1)^{4}

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

x^{2} + 4 x + 3

What is the domain of 1/(sqrt(x)-4) ?
The domain of 1/(sqrt(x)-4) is 0<= x<16\lor x>16