What is the domain of f(x)=((x+2)(x-4))/((x+3)(x-4)) ?

The domain of f(x)=((x+2)(x-4))/((x+3)(x-4)) is x 4

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domain of f(x)=((x+2)(x-4))/((x+3)(x-4))

domain

f (x) = \frac{( x + 2 ) ( x - 4 )}{( x + 3 ) ( x - 4 )}

x < - 3 or - 3 < x < 4 or x > 4

Interval Notation

(- \infty, - 3) \cup (- 3, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = - 3, x = 4

The function domain

x < - 3 or - 3 < x < 4 or x > 4

[21]

16 x - 3 y = 9

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

\frac{x}{6 - x}

f (x) = \frac{- 3 x ^{2} - x + 3}{x ^{2} - 1}

What is the domain of f(x)=((x+2)(x-4))/((x+3)(x-4)) ?
The domain of f(x)=((x+2)(x-4))/((x+3)(x-4)) is x<-3\lor-3<x<4\lor x>4