What is the domain of f(x)=ln((x+4)/(4x-16)) ?

The domain of f(x)=ln((x+4)/(4x-16)) is x 4

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domain of f(x)=ln((x+4)/(4x-16))

domain

f (x) = ln (\frac{x + 4}{4 x - 16})

x < - 4 or x > 4

Interval Notation

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

Solution steps

Find positive values for logs:

x < - 4 or x > 4

Find undefined (singularity) points:

x = 4

Combine real regions and undefined points for final function domain

x < - 4 or x > 4

\frac{cos ( t ^{2} )}{1 - e ^{t}}

- \frac{28}{x}

\frac{2 x}{7 x - 9}

f (x) = - 1 (3)^{x - 3} + 2

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

What is the domain of f(x)=ln((x+4)/(4x-16)) ?
The domain of f(x)=ln((x+4)/(4x-16)) is x<-4\lor x>4