What is the domain of f(x)=(2x)/((x+4)(x-9)) ?

The domain of f(x)=(2x)/((x+4)(x-9)) is x 9

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domain of f(x)=(2x)/((x+4)(x-9))

domain

f (x) = \frac{2 x}{( x + 4 ) ( x - 9 )}

x < - 4 or - 4 < x < 9 or x > 9

Interval Notation

(- \infty, - 4) \cup (- 4, 9) \cup (9, \infty)

Solution steps

Find undefined (singularity) points:

x = - 4, x = 9

The function domain

x < - 4 or - 4 < x < 9 or x > 9

∣ 2 x - 5 ∣

f (x) = \frac{x - 5}{x ^{2} - 9}

\frac{1}{x ^{2} - x - 90}

lo g_{5} (3 x^{2} - 5 x + 2)

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

What is the domain of f(x)=(2x)/((x+4)(x-9)) ?
The domain of f(x)=(2x)/((x+4)(x-9)) is x<-4\lor-4<x<9\lor x>9