What is the domain of f(x)=(8x)/((x+4)(x+6)) ?

The domain of f(x)=(8x)/((x+4)(x+6)) is x -4

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domain of f(x)=(8x)/((x+4)(x+6))

domain

f (x) = \frac{8 x}{( x + 4 ) ( x + 6 )}

x < - 6 or - 6 < x < - 4 or x > - 4

Interval Notation

(- \infty, - 6) \cup (- 6, - 4) \cup (- 4, \infty)

Solution steps

Find undefined (singularity) points:

x = - 4, x = - 6

The function domain

x < - 6 or - 6 < x < - 4 or x > - 4

5^{- x}

f (x) = lo g_{3} (x - 2)

6 x^{2} + 5 x + 7

3 x + 4 y = 5, (3, - 2)

f (x) = - 1 - (x + \frac{13}{5})^{2} + 15

What is the domain of f(x)=(8x)/((x+4)(x+6)) ?
The domain of f(x)=(8x)/((x+4)(x+6)) is x<-6\lor-6<x<-4\lor x>-4