What is the domain of (1/(sqrt(x)))^2-4(1/(sqrt(x))) ?

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

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domain of (1/(sqrt(x)))^2-4(1/(sqrt(x)))

domain

(\frac{1}{x})^{2} - 4 (\frac{1}{x})

x > 0

Interval Notation

(0, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 0

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x > 0

a sy m pt o t es \frac{4 x - 3}{- 4 x + 2}

e x t re m e 5 x^{4} + 20 x^{3}

cr i t i c a l \frac{1}{3} x^{3} + 2 x^{2} - 5 x + \frac{8}{3}

d o main - 3 x - 2

a sy m pt o t es \frac{8}{( 2 x - 5 ) ^{3}}

What is the domain of (1/(sqrt(x)))^2-4(1/(sqrt(x))) ?
The domain of (1/(sqrt(x)))^2-4(1/(sqrt(x))) is x>0