What is the domain of 1/(x^2-7x+10) ?

The domain of 1/(x^2-7x+10) is x 5

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domain of 1/(x^2-7x+10)

domain

\frac{1}{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

f (x) = (x - 1)^{2} + 5

f (x) = \frac{x ^{3} - 1}{x - 1}

f (x) = \frac{2 x - 1}{3}, 2 < x \leq 5

f (x) = lo g_{4} (x + 8)

f (x) = 3 x^{2} + 5 x - 4

What is the domain of 1/(x^2-7x+10) ?
The domain of 1/(x^2-7x+10) is x<2\lor 2<x<5\lor x>5