What is the domain of f(x)=(2x-6)/(x-4) ?

The domain of f(x)=(2x-6)/(x-4) is x 4

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domain of f(x)=(2x-6)/(x-4)

domain

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

x < 4 or x > 4

Interval Notation

(- \infty, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4

The function domain

x < 4 or x > 4

- x + 2

3 + x + 3 - x

h (x) = x - 2

\frac{lo g _{x} ( 2 ) - 1}{1 - lo g _{3} ( x )}

f (x) = 2 lo g_{2} (x - 1)

What is the domain of f(x)=(2x-6)/(x-4) ?
The domain of f(x)=(2x-6)/(x-4) is x<4\lor x>4