What is the domain of f(x)= 1/(sqrt(-(x^2-6x+5))) ?

The domain of f(x)= 1/(sqrt(-(x^2-6x+5))) is 1<x<5

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domain of f(x)= 1/(sqrt(-(x^2-6x+5)))

domain

f (x) = \frac{1}{- ( x ^{2} - 6 x + 5 )}

1 < x < 5

Interval Notation

(1, 5)

Solution steps

Find non-negative values for radicals:

1 \leq x \leq 5

Find undefined (singularity) points:

x = 1, x = 5

Combine real regions and undefined points for final function domain

1 < x < 5

\frac{x ^{2} + 5 x}{25 - x ^{2}}

x^{4} + 3 x^{2} + 2

\frac{2 x - 9}{2 x + 9}

\frac{5 x + 8}{6 x - 8}

+ 4 x - 16

What is the domain of f(x)= 1/(sqrt(-(x^2-6x+5))) ?
The domain of f(x)= 1/(sqrt(-(x^2-6x+5))) is 1<x<5