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

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

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

domain

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

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = - 4, x = - 3

The function domain

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

f (x, y) = \frac{1}{x}

\frac{1}{2 x + 2}

f (x) = 3 - (x + 1)^{2}, - 3 < x \leq 1

x (\frac{4 x + 1976}{x - 6})

f (x) = (x - 1) (x - 6)

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