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

The domain of (4x+3)/(x^2+3x) is x 0

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domain of (4x+3)/(x^2+3x)

domain

\frac{4 x + 3}{x ^{2} + 3 x}

x < - 3 or - 3 < x < 0 or x > 0

Interval Notation

(- \infty, - 3) \cup (- 3, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 3

The function domain

x < - 3 or - 3 < x < 0 or x > 0

f (x) = 7 x - 5 = 4 y - 6

f (x) = y + 2 = - (x + 1)

f (x) = 10 x + 20

f (x) = x^{3} - 12 x + 6

f (x) = - 1 - \frac{1}{5} x

What is the domain of (4x+3)/(x^2+3x) ?
The domain of (4x+3)/(x^2+3x) is x<-3\lor-3<x<0\lor x>0