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

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

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

domain

f (x) = \frac{1}{∣ 4 - x ∣}

x < 4 or x > 4

Interval Notation

(- \infty, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4

The function domain

x < 4 or x > 4

f (x) = \frac{x ^{2} + x - 12}{x - 4}

f (x) = \frac{3 x + 1}{4 x + 2}

(- 1, 2), (2, - 4)

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

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