What is the domain of (|5-x|)/(x^2-12x+35) ?

The domain of (|5-x|)/(x^2-12x+35) is x 7

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domain of (|5-x|)/(x^2-12x+35)

domain

\frac{∣ 5 - x ∣}{x ^{2} - 12 x + 35}

x < 5 or 5 < x < 7 or x > 7

Interval Notation

(- \infty, 5) \cup (5, 7) \cup (7, \infty)

Solution steps

Find undefined (singularity) points:

x = 7, x = 5

The function domain

x < 5 or 5 < x < 7 or x > 7

\frac{3 x - 1}{2}

f (x) = 19 - 19 x

f (x) = \frac{2 + x - 5}{x ^{2} - 64}

f (x) = 3 + 5 + 9 x

- ln (7 - x) + 3

What is the domain of (|5-x|)/(x^2-12x+35) ?
The domain of (|5-x|)/(x^2-12x+35) is x<5\lor 5<x<7\lor x>7