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

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

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domain of f(x)=|(x+2)/(x-2)|

domain

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

x < 2 or x > 2

Interval Notation

(- \infty, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2

The function domain

x < 2 or x > 2

5 x + 2

f (x) = 3 x^{2} + 6 x - 8

f (x) = \frac{x}{x + 7} = 1 - \frac{7}{x + 7}

- 4 cos (x) (3 x + \frac{π}{2})

f (x) = \frac{1}{x + 6}

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