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

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

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

domain

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

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

x^{4} + 3 x^{2} + 2

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

\frac{5 x + 8}{6 x - 8}

+ 4 x - 16

f (x) = \frac{y - 10}{y ( y + 2 )}

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