What is the domain of f(x)=(x+5)/(x^2-7x+10) ?

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

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domain of f(x)=(x+5)/(x^2-7x+10)

domain

f (x) = \frac{x + 5}{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

- \frac{x + 2}{4}

f (x) = \frac{1}{5 x - 15}

f (x) = 2 (x - 1)^{2} - 3

- \frac{x ^{2} + 4 x - 12}{32}

f (x) = 2 - ∣ x ∣

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