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

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

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

domain

f (x) = 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

x + x

f (x) = 4 x^{3} + 5 x^{2}

(- 2, 4), (3, - 2)

f (x) = sin (π x)

f (x) = x^{3} + 27 x

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