What is the domain of f(x)= 5/(x-6) ?

The domain of f(x)= 5/(x-6) is x 6

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domain of f(x)= 5/(x-6)

domain

f (x) = \frac{5}{x - 6}

x < 6 or x > 6

Interval Notation

(- \infty, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = 6

The function domain

x < 6 or x > 6

- 40 + 8 x = - 10 y

f (x) = \frac{5 x}{x ^{3} + 5 x ^{2} - 6 x}

f (x) = x^{2} - 16, x \leq 0

2 x - 3 y = 6

f (x) = 7 (\frac{x}{x + 5}) - 5

What is the domain of f(x)= 5/(x-6) ?
The domain of f(x)= 5/(x-6) is x<6\lor x>6