What is the domain of f(x)= 2/(x-4) ?

The domain of f(x)= 2/(x-4) is x 4

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domain of f(x)= 2/(x-4)

domain

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

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

- 3 + 4 y = 10

(1.5, 9), (3.5, 13)

y = 6 x - x^{2}, (1, 5)

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