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

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

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

domain

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

x < - 4 or x > - 4

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = - 4

The function domain

x < - 4 or x > - 4

f (x) = lo g_{10} (5) (3 x^{2} - 5 x + 2)

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

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

f (x) = \frac{4 x ^{2} + 6 x - 2}{4 x - 6}

\frac{x ( x - 5 ) ^{2}}{4}

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