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

The domain of f(x)=log_{2}(2-|2-x|) is 0<x<4

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

domain

f (x) = lo g_{2} (2 - ∣ 2 - x ∣)

0 < x < 4

Interval Notation

(0, 4)

Solution steps

Find positive values for logs:

0 < x < 4

The function domain

0 < x < 4

2 - x + x + 2

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

(2.1) (6.3)

f (x) = 5 (x - 2)^{\frac{2}{3}}

f (x) = - x^{2} - 17 x - 72

What is the domain of f(x)=log_{2}(2-|2-x|) ?
The domain of f(x)=log_{2}(2-|2-x|) is 0<x<4