What is the domain of f(x)=(1-5sqrt(x))/x ?

The domain of f(x)=(1-5sqrt(x))/x is x>0

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domain of f(x)=(1-5sqrt(x))/x

domain

f (x) = \frac{1 - 5 x}{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

y = \frac{x}{x ^{2} + 1}

f (x) = \frac{10 x ^{2}}{x ^{4} + 25}

(5, 4), (- 3, - 6)

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

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

What is the domain of f(x)=(1-5sqrt(x))/x ?
The domain of f(x)=(1-5sqrt(x))/x is x>0