What is the domain of y=(x^2+x-6)/(x^2-7x+10) ?

The domain of y=(x^2+x-6)/(x^2-7x+10) is x 5

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domain of y=(x^2+x-6)/(x^2-7x+10)

domain

y = \frac{x ^{2} + x - 6}{x ^{2} - 7 x + 10}

x < 2 or 2 < x < 5 or x > 5

Interval Notation

(- \infty, 2) \cup (2, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5, x = 2

The function domain

x < 2 or 2 < x < 5 or x > 5

y = x - 1

2 x

19 - x

x - 2 y = 0

\frac{x ^{2} - x}{x ^{3} - 4 x}

What is the domain of y=(x^2+x-6)/(x^2-7x+10) ?
The domain of y=(x^2+x-6)/(x^2-7x+10) is x<2\lor 2<x<5\lor x>5