What is the domain of f(x)=(4x^2-1)/(|2x+1|) ?

The domain of f(x)=(4x^2-1)/(|2x+1|) is x -1/2

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domain of f(x)=(4x^2-1)/(|2x+1|)

domain

f (x) = \frac{4 x ^{2} - 1}{∣ 2 x + 1 ∣}

x < - \frac{1}{2} or x > - \frac{1}{2}

Interval Notation

(- \infty, - \frac{1}{2}) \cup (- \frac{1}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{1}{2}

The function domain

x < - \frac{1}{2} or x > - \frac{1}{2}

y = x + 6

f (x) = 9 - 3 x

f (x) = 6 T + 30

f (x) = - 1 + 4 x - x^{3}

y = x^{2} - 3 x + 5

What is the domain of f(x)=(4x^2-1)/(|2x+1|) ?
The domain of f(x)=(4x^2-1)/(|2x+1|) is x<-1/2 \lor x>-1/2