What is the domain of 1/(sqrt(2.3x-7.8x^2)) ?

The domain of 1/(sqrt(2.3x-7.8x^2)) is 0<x< 23/78

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domain of 1/(sqrt(2.3x-7.8x^2))

domain

\frac{1}{2.3 x - 7.8 x ^{2}}

0 < x < \frac{23}{78}

Interval Notation

(0, \frac{23}{78})

Solution steps

Find non-negative values for radicals:

0 \leq x \leq \frac{23}{78}

Find undefined (singularity) points:

x = 0, x = \frac{23}{78}

Combine real regions and undefined points for final function domain

0 < x < \frac{23}{78}

f (x) = \frac{( x - 8 ) ( x - 2 )}{x - 7}

g (x) = \frac{2}{x - 2}

\frac{x - 7}{8}

\frac{4 x + 9}{x + 4}

f (x) = \frac{5 x}{3 x ^{2} - 12}

What is the domain of 1/(sqrt(2.3x-7.8x^2)) ?
The domain of 1/(sqrt(2.3x-7.8x^2)) is 0<x< 23/78