What is the domain of g(x)=(x+1)/(x^2-3x+2) ?

The domain of g(x)=(x+1)/(x^2-3x+2) is x 2

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domain of g(x)=(x+1)/(x^2-3x+2)

domain

g (x) = \frac{x + 1}{x ^{2} - 3 x + 2}

x < 1 or 1 < x < 2 or x > 2

Interval Notation

(- \infty, 1) \cup (1, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = 1

The function domain

x < 1 or 1 < x < 2 or x > 2

f (x) = ln (x^{2} + x - 6)

f (x) = lo g_{2} (100 - x^{2})

f (x) = ln (x^{2} + x - 2)

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

x^{3} + 7

What is the domain of g(x)=(x+1)/(x^2-3x+2) ?
The domain of g(x)=(x+1)/(x^2-3x+2) is x<1\lor 1<x<2\lor x>2