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{x - 8}{x ^{2} - 3 x - 40}

\frac{sin ( x )}{7 - e ^{2 x - 3}}

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

y = x^{2} + 36

f (t) = 55 + 35

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