What is the domain of 1/(x^2-10x+15) ?

The domain of 1/(x^2-10x+15) is x 5+sqrt(10)

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domain of 1/(x^2-10x+15)

domain

\frac{1}{x ^{2} - 10 x + 15}

x < 5 - 10 or 5 - 10 < x < 5 + 10 or x > 5 + 10

Interval Notation

(- \infty, 5 - 10) \cup (5 - 10, 5 + 10) \cup (5 + 10, \infty)

Solution steps

Find undefined (singularity) points:

x = 5 + 10, x = 5 - 10

The function domain

x < 5 - 10 or 5 - 10 < x < 5 + 10 or x > 5 + 10

\frac{2 x ^{2}}{x + 3}

f (x) = 2 x + 3 - 1

f (x) = 3 + 7 x

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

y - 8 = 0

What is the domain of 1/(x^2-10x+15) ?
The domain of 1/(x^2-10x+15) is x<5-sqrt(10)\lor 5-sqrt(10)<x<5+sqrt(10)\lor x>5+sqrt(10)