What is the domain of ln(1/(x-4)) ?

The domain of ln(1/(x-4)) is x>4

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domain of ln(1/(x-4))

domain

ln (\frac{1}{x - 4})

x > 4

Interval Notation

(4, \infty)

Solution steps

Find positive values for logs:

x > 4

Find undefined (singularity) points:

x = 4

Combine real regions and undefined points for final function domain

x > 4

l in e y = 2 x - 5

in v erse f (x) = \frac{( 5 x - 6 )}{( 2 x - 2 )}

d i s t an ce (0, - 5), (7, 2)

d o main f (x) = 3 - ∣ x - 2 ∣

d o main f (x) = \frac{x - 7}{6 - x}