What is the domain of f(x)= 1/(sqrt(-x^2+5x)) ?

The domain of f(x)= 1/(sqrt(-x^2+5x)) is 0<x<5

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domain of f(x)= 1/(sqrt(-x^2+5x))

domain

f (x) = \frac{1}{- x ^{2} + 5 x}

0 < x < 5

Interval Notation

(0, 5)

Solution steps

Find non-negative values for radicals:

0 \leq x \leq 5

Find undefined (singularity) points:

x = 0, x = 5

Combine real regions and undefined points for final function domain

0 < x < 5

f (x) = 2 x - 30

\frac{2}{3} x

12 - 3 x

f (x) = lo g_{10} (4) (2 - x)

\frac{4 - x}{x}

What is the domain of f(x)= 1/(sqrt(-x^2+5x)) ?
The domain of f(x)= 1/(sqrt(-x^2+5x)) is 0<x<5