What is the domain of f(x)=(2x)/(3x-6) ?

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

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

domain

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

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

7 - x^{3}

f (x) = lo g_{∣ x ∣ - 4} (2 - x)

f (x) = \frac{x - 7}{2}

- 3 x + 5 - x - 1

y = \frac{x + 3}{lo g _{2} ( x ^{2} - 4 )}

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