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

The domain of f(x)=log_{2}(2-|1-x|) is -1<x<3

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

domain

f (x) = lo g_{2} (2 - ∣ 1 - x ∣)

- 1 < x < 3

Interval Notation

(- 1, 3)

Solution steps

Find positive values for logs:

- 1 < x < 3

The function domain

- 1 < x < 3

tan (a r cos (\frac{2}{2}))

f (x) = - ∣ x - 3 ∣ + 2

\frac{4 x - 7}{4 x ^{2} - 15 x + 14}

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

What is the domain of f(x)=log_{2}(2-|1-x|) ?
The domain of f(x)=log_{2}(2-|1-x|) is -1<x<3