What is the domain of f(x)= 2/(x-5) ?

The domain of f(x)= 2/(x-5) is x 5

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domain of f(x)= 2/(x-5)

domain

f (x) = \frac{2}{x - 5}

x < 5 or x > 5

Interval Notation

(- \infty, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5

The function domain

x < 5 or x > 5

f (x) = \frac{13 x + 12}{23 x - 12}

y = x^{2} - 4 x + 5

2 x - 3 + \frac{5 x + 5}{x ^{2} - 1}

f (x) = \frac{5}{x + 2}

f (x) = ln (x + 7)

What is the domain of f(x)= 2/(x-5) ?
The domain of f(x)= 2/(x-5) is x<5\lor x>5