What is the domain of f(x)= 8/(x-4) ?

The domain of f(x)= 8/(x-4) is x 4

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domain of f(x)= 8/(x-4)

domain

f (x) = \frac{8}{x - 4}

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) = x^{2} + 8 x - 16

f (x) = \frac{x ^{2} + x - 20}{5 x + 25}

3 x + 9

x^{2} - 8 x + 15

2 x - 1

What is the domain of f(x)= 8/(x-4) ?
The domain of f(x)= 8/(x-4) is x<4\lor x>4