What is the domain of f(x)= 1/(sqrt(6.5x-1.1x^2)) ?

The domain of f(x)= 1/(sqrt(6.5x-1.1x^2)) is 0<x< 65/11

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domain of f(x)= 1/(sqrt(6.5x-1.1x^2))

domain

f (x) = \frac{1}{6.5 x - 1.1 x ^{2}}

0 < x < \frac{65}{11}

Solution steps

Find non-negative values for radicals:

0 \leq x \leq \frac{65}{11}

Find undefined (singularity) points:

x = 0, x = \frac{65}{11}

Combine real regions and undefined points for final function domain

0 < x < \frac{65}{11}

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

f (x) = \frac{( 2 x - 1 )}{( x + 1 )}

f (x) = x ∣ x ∣

f (x) = \frac{5}{x ^{2} + 2 x - 10}

f (x) = 4 x + 2

What is the domain of f(x)= 1/(sqrt(6.5x-1.1x^2)) ?
The domain of f(x)= 1/(sqrt(6.5x-1.1x^2)) is 0<x< 65/11