What is the domain of f(x)= 1/(|4-8x|+12) ?

The domain of f(x)= 1/(|4-8x|+12) is -infinity <x<infinity

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domain of f(x)= 1/(|4-8x|+12)

domain

f (x) = \frac{1}{∣ 4 - 8 x ∣ + 12}

- \infty < x < \infty

Interval Notation

(- \infty, \infty)

Solution steps

Find undefined (singularity) points:

No real undefined points

The function has no undefined points nor domain constraints. Therefore, the domain is

- \infty < x < \infty

(1, 6), (5, - 2)

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

f (x) = 36 - x^{2} - x + 1

(3.58, 1.413), (4, 12.88)

(x^{2} + 6) (36 - x^{2})

What is the domain of f(x)= 1/(|4-8x|+12) ?
The domain of f(x)= 1/(|4-8x|+12) is -infinity <x<infinity