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

The domain of h(x)=log_{1/2}(|x|) is x 0

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domain of h(x)=log_{1/2}(|x|)

domain

h (x) = lo g_{\frac{1}{2}} (∣ x ∣)

x < 0 or x > 0

Interval Notation

(- \infty, 0) \cup (0, \infty)

Solution steps

Find positive values for logs:

x < 0 or x > 0

The function domain

x < 0 or x > 0

x = 4

f (x) = \frac{3 x - 8}{4 x ^{2} + 5}

f (x) = 5 - 3 + \frac{x + 1}{4 x - 8}

f (x) = (x - 1) \cdot e^{- \frac{1}{x}}

f (t) = 2 t + t^{2}

What is the domain of h(x)=log_{1/2}(|x|) ?
The domain of h(x)=log_{1/2}(|x|) is x<0\lor x>0