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

The domain of f(x)=log_{2}(3-|3-x|) is 0<x<6

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

domain

f (x) = lo g_{2} (3 - ∣ 3 - x ∣)

0 < x < 6

Interval Notation

(0, 6)

Solution steps

Find positive values for logs:

0 < x < 6

The function domain

0 < x < 6

y = x^{2} - 17

y = \frac{2 x ^{2} - 2}{x ^{2} + 3 x - 4}

4 x^{2} + 9

y = 11 x + 15

y = \frac{1}{x + 2}

What is the domain of f(x)=log_{2}(3-|3-x|) ?
The domain of f(x)=log_{2}(3-|3-x|) is 0<x<6