What is the domain of Y(x)=(2x-9)/(x-3) ?

The domain of Y(x)=(2x-9)/(x-3) is x 3

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domain of Y(x)=(2x-9)/(x-3)

domain

Y (x) = \frac{2 x - 9}{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

f (x) = 2 \cdot 3^{x}

sin (x) + cos (x)

f (x) = (x - 3)^{2}, x \geq 3

sin (3 x + 1)

y = 2 x + 2

What is the domain of Y(x)=(2x-9)/(x-3) ?
The domain of Y(x)=(2x-9)/(x-3) is x<3\lor x>3