What is the domain of y=(2x^2-5x+3)/(4x-6) ?

The domain of y=(2x^2-5x+3)/(4x-6) is x 3/2

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domain of y=(2x^2-5x+3)/(4x-6)

domain

y = \frac{2 x ^{2} - 5 x + 3}{4 x - 6}

x < \frac{3}{2} or x > \frac{3}{2}

Interval Notation

(- \infty, \frac{3}{2}) \cup (\frac{3}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{3}{2}

The function domain

x < \frac{3}{2} or x > \frac{3}{2}

f (x) = ∣ x ∣ + x

lo g_{x} (\frac{x}{x - 2}) - 2

f (x) = 12 x^{2} + 98 x + 196

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

f (x) = (2.5) (4.9)

What is the domain of y=(2x^2-5x+3)/(4x-6) ?
The domain of y=(2x^2-5x+3)/(4x-6) is x< 3/2 \lor x> 3/2