What is the domain of f(x)=(x-8)/(x^2+x-72) ?

The domain of f(x)=(x-8)/(x^2+x-72) is x 8

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domain of f(x)=(x-8)/(x^2+x-72)

domain

f (x) = \frac{x - 8}{x ^{2} + x - 72}

x < - 9 or - 9 < x < 8 or x > 8

Interval Notation

(- \infty, - 9) \cup (- 9, 8) \cup (8, \infty)

Solution steps

Find undefined (singularity) points:

x = 8, x = - 9

The function domain

x < - 9 or - 9 < x < 8 or x > 8

f (x) = \frac{( x + 4 )}{x - 3}

f (x) = x^{2}

\frac{1}{2} y + 2 = 0

f (x) = sin (ln (x^{3} - 2))

\frac{x - 8}{7}

What is the domain of f(x)=(x-8)/(x^2+x-72) ?
The domain of f(x)=(x-8)/(x^2+x-72) is x<-9\lor-9<x<8\lor x>8