What is the domain of f(x)= 2/((x-3)) ?

The domain of f(x)= 2/((x-3)) is x 3

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domain of f(x)= 2/((x-3))

domain

f (x) = \frac{2}{( x - 3 )}

x < 3 or x > 3

Interval Notation

(- \infty, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3

The function domain

x < 3 or x > 3

y = x + 4

f (x) = \frac{1}{3} - 2 (x + 6) + 4

f (x) = 12 x^{2} - 12 x + 2

\frac{1}{5} x - \frac{9}{5}

10 x^{2}

What is the domain of f(x)= 2/((x-3)) ?
The domain of f(x)= 2/((x-3)) is x<3\lor x>3