What is the domain of g(x)=(x+3)/(x^2-6x+9) ?

The domain of g(x)=(x+3)/(x^2-6x+9) is x 3

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domain of g(x)=(x+3)/(x^2-6x+9)

domain

g (x) = \frac{x + 3}{x ^{2} - 6 x + 9}

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

3 + ln (x)

y = x^{2} - 4 x + 6

\frac{3 x - 7}{5 x + 6}

y + 3 = 2 x + 5

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

What is the domain of g(x)=(x+3)/(x^2-6x+9) ?
The domain of g(x)=(x+3)/(x^2-6x+9) is x<3\lor x>3