What is the domain of (x^2+5x+4)/(x^2+15x+56) ?

The domain of (x^2+5x+4)/(x^2+15x+56) is x -7

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domain of (x^2+5x+4)/(x^2+15x+56)

domain

\frac{x ^{2} + 5 x + 4}{x ^{2} + 15 x + 56}

x < - 8 or - 8 < x < - 7 or x > - 7

Interval Notation

(- \infty, - 8) \cup (- 8, - 7) \cup (- 7, \infty)

Solution steps

Find undefined (singularity) points:

x = - 7, x = - 8

The function domain

x < - 8 or - 8 < x < - 7 or x > - 7

t^{3}

\frac{x + 7}{3}

f (x) = lo g_{x} (4 - x^{2})

f (x) = lo g_{2} (x^{2} + 64)

y = \frac{- 3}{5 x + 20} + 7

What is the domain of (x^2+5x+4)/(x^2+15x+56) ?
The domain of (x^2+5x+4)/(x^2+15x+56) is x<-8\lor-8<x<-7\lor x>-7