What is the domain of f(x)=ln((4x-8)/(2x+4)) ?

The domain of f(x)=ln((4x-8)/(2x+4)) is x 2

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domain of f(x)=ln((4x-8)/(2x+4))

domain

f (x) = ln (\frac{4 x - 8}{2 x + 4})

x < - 2 or x > 2

Interval Notation

(- \infty, - 2) \cup (2, \infty)

Solution steps

Find positive values for logs:

x < - 2 or x > 2

Find undefined (singularity) points:

x = - 2

Combine real regions and undefined points for final function domain

x < - 2 or x > 2

f (x) = 2 x^{2} + 8 x + 1

f (x) = 2 x^{2} + 8 x + 5

\frac{1 0 ^{3 x}}{3}

\frac{4 x}{x - 16}

g (x) = \frac{8 x}{x ^{2} - 9}

What is the domain of f(x)=ln((4x-8)/(2x+4)) ?
The domain of f(x)=ln((4x-8)/(2x+4)) is x<-2\lor x>2