What is the domain of ((4x^2+28x+40))/(x+5) ?

The domain of ((4x^2+28x+40))/(x+5) is x -5

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domain of ((4x^2+28x+40))/(x+5)

domain

\frac{( 4 x ^{2} + 28 x + 40 )}{x + 5}

x < - 5 or x > - 5

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = - 5

The function domain

x < - 5 or x > - 5

f (x) = \frac{- 20}{x - 8}

y = \frac{2}{\frac{13}{x} + 3}

f (x) = \frac{6 x - x ^{2}}{x ^{2} + 4 x - 12}

\frac{( x - 1 ) ( x + 4 )}{( x + 1 ) ( x - 5 )}

y = \frac{1}{1 - sin ( x )}

What is the domain of ((4x^2+28x+40))/(x+5) ?
The domain of ((4x^2+28x+40))/(x+5) is x<-5\lor x>-5