What is the domain of f(x)=log_{|x|-4}(2-x) ?

The domain of f(x)=log_{|x|-4}(2-x) is x<-5\lor-5<x<-4

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domain of f(x)=log_{|x|-4}(2-x)

domain

f (x) = lo g_{∣ x ∣ - 4} (2 - x)

x < - 5 or - 5 < x < - 4

Interval Notation

(- \infty, - 5) \cup (- 5, - 4)

Solution steps

Check logs domain:

x < - 5 or - 5 < x < - 4

The function domain

x < - 5 or - 5 < x < - 4

f (x) = \frac{x - 7}{2}

- 3 x + 5 - x - 1

y = \frac{x + 3}{lo g _{2} ( x ^{2} - 4 )}

f (x) = \frac{5 x + 3}{x + 7}

\frac{x \cdot ( x - 3 )}{( \frac{5}{x + 4} - 3 ) ( x - 3 )}

What is the domain of f(x)=log_{|x|-4}(2-x) ?
The domain of f(x)=log_{|x|-4}(2-x) is x<-5\lor-5<x<-4