What is the domain of f(x)=log_{10}(|3x+6|) ?

The domain of f(x)=log_{10}(|3x+6|) is x -2

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domain of f(x)=log_{10}(|3x+6|)

domain

f (x) = lo g_{10} (∣ 3 x + 6 ∣)

x < - 2 or x > - 2

Interval Notation

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

Solution steps

Find positive values for logs:

x < - 2 or x > - 2

The function domain

x < - 2 or x > - 2

\frac{2 + x - x ^{2}}{( x - 1 ) ^{2}}

x + 5 + 5 - x

3 x - \frac{1}{5}

f (x) = \frac{1}{( y - 2 ) ( y - 8 )}

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

What is the domain of f(x)=log_{10}(|3x+6|) ?
The domain of f(x)=log_{10}(|3x+6|) is x<-2\lor x>-2