What is the domain of f(x)=(x-3)/(x^2+15x+56) ?

The domain of f(x)=(x-3)/(x^2+15x+56) is x -7

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domain of f(x)=(x-3)/(x^2+15x+56)

domain

f (x) = \frac{x - 3}{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

lo g_{9} (x)

f (x) = (x + 1 \circ x^{2} - 1)

- 3 x^{4} + 24 x^{3} - 48 x^{2}

f (x) = - 4 x

f (x) = \frac{1}{x ^{2} - 9}

What is the domain of f(x)=(x-3)/(x^2+15x+56) ?
The domain of f(x)=(x-3)/(x^2+15x+56) is x<-8\lor-8<x<-7\lor x>-7