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

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

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

domain

\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) = ln (x^{2} + 16)

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

f (x) = 4 - x + 2 x + 0.8

y = (lo g_{5} (x)) + 2

f (x) = lo g_{10} (\frac{x - 3}{3 x})

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