What is the domain of f(x)=log_{2}(1-|1-x|) ?

The domain of f(x)=log_{2}(1-|1-x|) is 0<x<2

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domain of f(x)=log_{2}(1-|1-x|)

domain

f (x) = lo g_{2} (1 - ∣ 1 - x ∣)

0 < x < 2

Interval Notation

(0, 2)

Solution steps

Find positive values for logs:

0 < x < 2

The function domain

0 < x < 2

f (x) = \frac{1 + 2 x ^{2}}{5 x + 3 x ^{2}}

\frac{1 - 7 x}{9}

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

f (x) = 2 y - 4 = 7 x

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

What is the domain of f(x)=log_{2}(1-|1-x|) ?
The domain of f(x)=log_{2}(1-|1-x|) is 0<x<2