What is the domain of f(x)= 1/(sqrt(1.6x-3.4x^2)) ?

The domain of f(x)= 1/(sqrt(1.6x-3.4x^2)) is 0<x< 8/17

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domain of f(x)= 1/(sqrt(1.6x-3.4x^2))

domain

f (x) = \frac{1}{1.6 x - 3.4 x ^{2}}

0 < x < \frac{8}{17}

Interval Notation

(0, \frac{8}{17})

Solution steps

Find non-negative values for radicals:

0 \leq x \leq \frac{8}{17}

Find undefined (singularity) points:

x = 0, x = \frac{8}{17}

Combine real regions and undefined points for final function domain

0 < x < \frac{8}{17}

5 x + 4

\frac{9 x - 27}{5 x - 30}

\frac{55 x ^{3} + 15 x ^{2} - 5 x}{5 x}

\frac{x}{x ^{2} + 2}

f (x) = 15 - 2 x

What is the domain of f(x)= 1/(sqrt(1.6x-3.4x^2)) ?
The domain of f(x)= 1/(sqrt(1.6x-3.4x^2)) is 0<x< 8/17