What is the FUNCTION_MANY#domain of f(x)=(sin(x+6))/(x^3+10x^2+24x) ?

The FUNCTION_MANY#domain of f(x)=(sin(x+6))/(x^3+10x^2+24x) is x 0

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FUNCTION_MANY#domain of f(x)=(sin(x+6))/(x^3+10x^2+24x)

domain

f (x) = \frac{sin ( x + 6 )}{x ^{3} + 10 x ^{2} + 24 x}

x < - 6 or - 6 < x < - 4 or - 4 < x < 0 or x > 0

Interval Notation

(- \infty, - 6) \cup (- 6, - 4) \cup (- 4, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 4, x = - 6

The function domain

x < - 6 or - 6 < x < - 4 or - 4 < x < 0 or x > 0

f (x) = \frac{sin ^{2} ( x )}{x}

f (x) = x^{2} - 8 x + 9

f (x) = 5 x - 8

f (x) = 5 x + 9

y = x^{2} - 2 x + 4

What is the FUNCTION_MANY#domain of f(x)=(sin(x+6))/(x^3+10x^2+24x) ?
The FUNCTION_MANY#domain of f(x)=(sin(x+6))/(x^3+10x^2+24x) is x<-6\lor-6<x<-4\lor-4<x<0\lor x>0