What is the domain of f(x)= 5/(x-4) ?

The domain of f(x)= 5/(x-4) is x 4

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domain of f(x)= 5/(x-4)

domain

f (x) = \frac{5}{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

6 x + y = - 1

x = - 6, (- 1, - 2)

y = e^{- x} - 1

sec (x)

f (x) = \frac{x}{x ^{2} + 9}

What is the domain of f(x)= 5/(x-4) ?
The domain of f(x)= 5/(x-4) is x<4\lor x>4