What is the domain of ln((-3)/((x+2)(x-6))) ?

The domain of ln((-3)/((x+2)(x-6))) is -2<x<6

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domain of ln((-3)/((x+2)(x-6)))

domain

ln (\frac{- 3}{( x + 2 ) ( x - 6 )})

- 2 < x < 6

Interval Notation

(- 2, 6)

Solution steps

Find positive values for logs:

- 2 < x < 6

Find undefined (singularity) points:

x = - 2, x = 6

Combine real regions and undefined points for final function domain

- 2 < x < 6

f (x) = \frac{3}{2 + x ^{2}}

f (x) = lo g_{10} (\frac{x + 1}{x - 3})

f (x) = \frac{x - 2}{x ^{2} - 9}

ln (2 x + 5)

f (x) = \frac{x - 1}{4 + x ∣ x ∣}

What is the domain of ln((-3)/((x+2)(x-6))) ?
The domain of ln((-3)/((x+2)(x-6))) is -2<x<6