What is the domain of f(x)=(2x-13)/(2x-6) ?

The domain of f(x)=(2x-13)/(2x-6) is x 3

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domain of f(x)=(2x-13)/(2x-6)

domain

f (x) = \frac{2 x - 13}{2 x - 6}

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

(- 4, 5), (4, - 2)

2 y = - 5 x + 5

f (x) = x^{3} + x^{2} - 3 x - 1

4 x + 3

f (x) = 3 x^{2} + 2 x - 1

What is the domain of f(x)=(2x-13)/(2x-6) ?
The domain of f(x)=(2x-13)/(2x-6) is x<3\lor x>3