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

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

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

domain

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

x < - 5 or - 5 < x < 5 or x > 5

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 5, x = - 5

The function domain

x < - 5 or - 5 < x < 5 or x > 5

f (x) = - 4 x^{2} + 12

f (x) = - 2 x + 10

y - 4 = \frac{4}{5} (x - 1)

f (x) = x^{2} - 25

f (x) = 3 x^{4} + 4 x^{3} + 6 x^{2} - 4

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