What is the domain of f(x)=(x+6)/(x^2+5x) ?

The domain of f(x)=(x+6)/(x^2+5x) is x 0

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domain of f(x)=(x+6)/(x^2+5x)

domain

f (x) = \frac{x + 6}{x ^{2} + 5 x}

x < - 5 or - 5 < x < 0 or x > 0

Interval Notation

(- \infty, - 5) \cup (- 5, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 5

The function domain

x < - 5 or - 5 < x < 0 or x > 0

x^{5} - 3 x^{4} + 3 x^{3} - 5 x^{2} + 12

(1, 5), (- 1, - 2)

\frac{x + 2}{x - 7}

f (x) = x^{4} - 242 x^{2} - 14641

f (x) = \frac{( x ^{3} + 3 x ^{2} )}{( 7 x ^{2} - 2 )}

What is the domain of f(x)=(x+6)/(x^2+5x) ?
The domain of f(x)=(x+6)/(x^2+5x) is x<-5\lor-5<x<0\lor x>0