What is the domain of 1/(sqrt(9.2x-3.1x^2)) ?

The domain of 1/(sqrt(9.2x-3.1x^2)) is 0<x< 92/31

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domain of 1/(sqrt(9.2x-3.1x^2))

domain

\frac{1}{9.2 x - 3.1 x ^{2}}

0 < x < \frac{92}{31}

Interval Notation

(0, \frac{92}{31})

Solution steps

Find non-negative values for radicals:

0 \leq x \leq \frac{92}{31}

Find undefined (singularity) points:

x = 0, x = \frac{92}{31}

Combine real regions and undefined points for final function domain

0 < x < \frac{92}{31}

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

f (x) = \frac{3}{2 x - 18}

f (x) = \frac{8 cos ( x )}{1 - sin ( x )}

y = \frac{2}{( x - 3 ) ( x - 8 )}

- (1.1)^{x} + 1

What is the domain of 1/(sqrt(9.2x-3.1x^2)) ?
The domain of 1/(sqrt(9.2x-3.1x^2)) is 0<x< 92/31