What is the domain of ln(sqrt(((x-9))/(x-4))) ?

The domain of ln(sqrt(((x-9))/(x-4))) is x 9

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domain of ln(sqrt(((x-9))/(x-4)))

domain

ln (\frac{( x - 9 )}{x - 4})

x < 4 or x > 9

Interval Notation

(- \infty, 4) \cup (9, \infty)

Solution steps

Find positive values for logs:

x < 4 or x > 9

Find undefined (singularity) points:

x = 4

Combine real regions and undefined points for final function domain

x < 4 or x > 9

y = \frac{tan ^{2} ( 3 x ^{2} - 5 )}{4 x ^{2} - 3 x}

f (x) = 4 x - 12

\frac{2 x}{x ^{2} - 1}

f (x) = 3 x + 1

What is the domain of ln(sqrt(((x-9))/(x-4))) ?
The domain of ln(sqrt(((x-9))/(x-4))) is x<4\lor x>9