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

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

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

domain

y = lo g_{2} (3 - ∣ 2 - 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 (x) = \frac{2}{- x + 3} + 2

3 lo g_{2} (x)

\frac{4 - t ^{2}}{5 - 3 t - 2 t ^{2}}

f (x) = x^{3} - 3 x^{2} - 9 x + 10

y = 3 x - 7

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