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

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

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

domain

r (x) = \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

- e^{x} - 6

1 - cy

f (x) = \frac{x + 3}{x ^{2} - 36}

f (x) = 14 - x + 14 + x

\frac{1 - 9 x}{5 x + 4}

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