What is the domain of C(x)=(x-4)/(x^2-25) ?

The domain of C(x)=(x-4)/(x^2-25) is x 5

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domain of C(x)=(x-4)/(x^2-25)

domain

C (x) = \frac{x - 4}{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

\frac{2 x + 1}{3 x - 2}

g (x) = 3 lo g_{4} (x)

\frac{1}{2} - cos (x)

1 - 2 3 - 2 x - x^{2}

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

What is the domain of C(x)=(x-4)/(x^2-25) ?
The domain of C(x)=(x-4)/(x^2-25) is x<-5\lor-5<x<5\lor x>5