What is the domain of 1/(sqrt(1.8x-3.6x^2)) ?

The domain of 1/(sqrt(1.8x-3.6x^2)) is 0<x< 1/2

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domain of 1/(sqrt(1.8x-3.6x^2))

domain

\frac{1}{1.8 x - 3.6 x ^{2}}

0 < x < \frac{1}{2}

Interval Notation

(0, \frac{1}{2})

Solution steps

Find non-negative values for radicals:

0 \leq x \leq \frac{1}{2}

Find undefined (singularity) points:

x = 0, x = \frac{1}{2}

Combine real regions and undefined points for final function domain

0 < x < \frac{1}{2}

f (x) = e^{x + 3}

f (x) = e^{x + 1}

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

f (x) = ln (- 6 - x)

3 - 2 x + 1

What is the domain of 1/(sqrt(1.8x-3.6x^2)) ?
The domain of 1/(sqrt(1.8x-3.6x^2)) is 0<x< 1/2