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

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

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

domain

f (x) = \frac{2 x ^{2} - 3}{x ^{2} - 5 x + 6}

x < 2 or 2 < x < 3 or x > 3

Interval Notation

(- \infty, 2) \cup (2, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3, x = 2

The function domain

x < 2 or 2 < x < 3 or x > 3

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

(5, 10.388), (7, 13.312)

(6, - 9), (5, - 4)

f (x) = \frac{2 x + 1}{x - 1}

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

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