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

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

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

domain

f (x) = \frac{4}{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

lo g_{2} (lo g_{2} (1 - x))

x^{2} + 4 x + 9

f (x) = lo g_{3} (2 x)

lo g_{b} (x^{2} + 1)

f (x) = 5 x + 2

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