What is the domain of f(x)=log_{1/2}(4-|x|) ?

The domain of f(x)=log_{1/2}(4-|x|) is -4<x<4

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domain of f(x)=log_{1/2}(4-|x|)

domain

f (x) = lo g_{\frac{1}{2}} (4 - ∣ x ∣)

- 4 < x < 4

Interval Notation

(- 4, 4)

Solution steps

Find positive values for logs:

- 4 < x < 4

The function domain

- 4 < x < 4

f (x) = 10 - 2 x + 3 x - 1

f (x) = \frac{x ^{2} - 36}{x - 6}

f (x) = \frac{1}{5} x^{3} - x^{2} + 1

lo g_{e} (x^{2} - 1)

f (x) = 4 (x - 12) (x - 7)

What is the domain of f(x)=log_{1/2}(4-|x|) ?
The domain of f(x)=log_{1/2}(4-|x|) is -4<x<4