What is the domain of 1/(sqrt(6.1x-3.5x^2)) ?

The domain of 1/(sqrt(6.1x-3.5x^2)) is 0<x< 61/35

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domain of 1/(sqrt(6.1x-3.5x^2))

domain

\frac{1}{6.1 x - 3.5 x ^{2}}

0 < x < \frac{61}{35}

Interval Notation

(0, \frac{61}{35})

Solution steps

Find non-negative values for radicals:

0 \leq x \leq \frac{61}{35}

Find undefined (singularity) points:

x = 0, x = \frac{61}{35}

Combine real regions and undefined points for final function domain

0 < x < \frac{61}{35}

What is the domain of 1/(sqrt(6.1x-3.5x^2)) ?
The domain of 1/(sqrt(6.1x-3.5x^2)) is 0<x< 61/35