What is the domain of (2x)/(x-4)-x/(x+5) ?

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

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domain of (2x)/(x-4)-x/(x+5)

domain

\frac{2 x}{x - 4} - \frac{x}{x + 5}

x < - 5 or - 5 < x < 4 or x > 4

Interval Notation

(- \infty, - 5) \cup (- 5, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4, x = - 5

The function domain

x < - 5 or - 5 < x < 4 or x > 4

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

f (x) = \frac{9 - 4 x}{x - 4}

(x - 1)^{2} \cdot (x + 2)^{2}

f (x) = - 0.8 x - 1.3

f (x) = \frac{x ^{2} + 6 x - 7}{x ^{2} + 2 x - 3}

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