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

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

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

domain

\frac{4 x}{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) = \frac{49}{x ^{2} - x}

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

f (x) = - x - 1 + 3

\frac{4 x ^{2} - 16 x + 17}{x ^{2} - 4 x + 4}

x + 6 y = 2 y - 7

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