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

The domain of f(x)=log_{2}(2-|3-x|) is 1<x<5

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domain of f(x)=log_{2}(2-|3-x|)

domain

f (x) = lo g_{2} (2 - ∣ 3 - x ∣)

1 < x < 5

Interval Notation

(1, 5)

Solution steps

Find positive values for logs:

1 < x < 5

The function domain

1 < x < 5

f (r) = 4 - r

f (x) = \frac{x - 1}{x + 4}

\frac{5 x - 2}{7 x + 3}

4 cos (x) sin (x) - 4 sin (x)

f (x) = 2 x^{2} - 4

What is the domain of f(x)=log_{2}(2-|3-x|) ?
The domain of f(x)=log_{2}(2-|3-x|) is 1<x<5