What is the domain of (x^2-25)/(x^2-6x+5) ?

The domain of (x^2-25)/(x^2-6x+5) is x 5

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domain of (x^2-25)/(x^2-6x+5)

domain

\frac{x ^{2} - 25}{x ^{2} - 6 x + 5}

x < 1 or 1 < x < 5 or x > 5

Interval Notation

(- \infty, 1) \cup (1, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5, x = 1

The function domain

x < 1 or 1 < x < 5 or x > 5

f (x) = \frac{x ^{2} + 4}{x ^{2} + 3 x + 2}

\frac{x ^{2}}{9 - x}

f (x) = \frac{3 x - 4}{2 - x}

f (x) = ln (5 (8)^{3} + 9 (6) + 15)

f (x) = 6 - \frac{4}{x}

What is the domain of (x^2-25)/(x^2-6x+5) ?
The domain of (x^2-25)/(x^2-6x+5) is x<1\lor 1<x<5\lor x>5