What is the domain of f(x)= 2/(x-10) ?

The domain of f(x)= 2/(x-10) is x 10

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domain of f(x)= 2/(x-10)

domain

f (x) = \frac{2}{x - 10}

x < 10 or x > 10

Interval Notation

(- \infty, 10) \cup (10, \infty)

Solution steps

Find undefined (singularity) points:

x = 10

The function domain

x < 10 or x > 10

(7.12) (7.9)

f (x) = \frac{( x - 1 )}{x + 2}

\frac{5}{x}

f (x) = 3 cos (2 x) + 2

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

What is the domain of f(x)= 2/(x-10) ?
The domain of f(x)= 2/(x-10) is x<10\lor x>10