What is the domain of f(x)= x/(|2x+3|-1) ?

The domain of f(x)= x/(|2x+3|-1) is x -1

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domain of f(x)= x/(|2x+3|-1)

domain

f (x) = \frac{x}{∣ 2 x + 3 ∣ - 1}

x < - 2 or - 2 < x < - 1 or x > - 1

Interval Notation

(- \infty, - 2) \cup (- 2, - 1) \cup (- 1, \infty)

Solution steps

Find undefined (singularity) points:

x = - 2, x = - 1

The function domain

x < - 2 or - 2 < x < - 1 or x > - 1

f (x) = - 0.03 x^{2} + x + 6

f (t) = t^{\frac{10}{3}} - \frac{t}{t + 1} + (t^{2} + 2 t)

f (x) = 5 - x + 4

f (x) = \frac{3}{4} x + 2

\frac{2500 + 20 x}{x}

What is the domain of f(x)= x/(|2x+3|-1) ?
The domain of f(x)= x/(|2x+3|-1) is x<-2\lor-2<x<-1\lor x>-1