What is the domain of f(x)= 5/(|1|x|-3|-4) ?

The domain of f(x)= 5/(|1|x|-3|-4) is x 4/3

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domain of f(x)= 5/(|1|x|-3|-4)

domain

f (x) = \frac{5}{∣ 1 ∣ x ∣ - 3 ∣ - 4}

x < \frac{4}{3} or x > \frac{4}{3}

Interval Notation

(- \infty, \frac{4}{3}) \cup (\frac{4}{3}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{4}{3}

The function domain

x < \frac{4}{3} or x > \frac{4}{3}

\frac{x - 5}{x ^{2} + 10 x + 25}

f (x) = e^{x} - 3

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

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

f (x) = x^{3} + x y^{2} = y

What is the domain of f(x)= 5/(|1|x|-3|-4) ?
The domain of f(x)= 5/(|1|x|-3|-4) is x< 4/3 \lor x> 4/3