What is the domain of f(x)=log_{12}(|15-24x|) ?

The domain of f(x)=log_{12}(|15-24x|) is x 5/8

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domain of f(x)=log_{12}(|15-24x|)

domain

f (x) = lo g_{12} (∣ 15 - 24 x ∣)

x < \frac{5}{8} or x > \frac{5}{8}

Interval Notation

(- \infty, \frac{5}{8}) \cup (\frac{5}{8}, \infty)

Solution steps

Find positive values for logs:

x < \frac{5}{8} or x > \frac{5}{8}

The function domain

x < \frac{5}{8} or x > \frac{5}{8}

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

5 x + 2

\frac{5 x}{14 - x}

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

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

What is the domain of f(x)=log_{12}(|15-24x|) ?
The domain of f(x)=log_{12}(|15-24x|) is x< 5/8 \lor x> 5/8