What is the domain of y=log_{10}((x+4)/(x-2)) ?

The domain of y=log_{10}((x+4)/(x-2)) is x 2

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domain of y=log_{10}((x+4)/(x-2))

domain

y = lo g_{10} (\frac{x + 4}{x - 2})

x < - 4 or x > 2

Interval Notation

(- \infty, - 4) \cup (2, \infty)

Solution steps

Find positive values for logs:

x < - 4 or x > 2

Find undefined (singularity) points:

x = 2

Combine real regions and undefined points for final function domain

x < - 4 or x > 2

g (x) = ∣ 2 x ∣ + 2

\frac{x ( x + 4 )}{- 3 x - 7}

\frac{( x + a ^{2} - a )}{x}

e^{x} (2 x + 1)

c^{4} + 8 c^{3} - 3 c^{2} - 7 c

What is the domain of y=log_{10}((x+4)/(x-2)) ?
The domain of y=log_{10}((x+4)/(x-2)) is x<-4\lor x>2