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

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

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

domain

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

\frac{1 + x}{1 + x ^{2}}

6 x^{3} - 11 x^{2} - 3 x + 2

f (x) = x^{4} - 4 x^{3} + 4

f (x) = - x^{3} + 9 x^{2} - 51

- 3 x

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