What is the domain of f(x)=(3x+5)/(x^2-x-30) ?

The domain of f(x)=(3x+5)/(x^2-x-30) is x 6

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domain of f(x)=(3x+5)/(x^2-x-30)

domain

f (x) = \frac{3 x + 5}{x ^{2} - x - 30}

x < - 5 or - 5 < x < 6 or x > 6

Interval Notation

(- \infty, - 5) \cup (- 5, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = 6, x = - 5

The function domain

x < - 5 or - 5 < x < 6 or x > 6

f (x) = \frac{8}{- 6 - x}

- 1 0^{x + 2} - 3

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

f (x) = \frac{( x ^{2} - x - 12 )}{25 - x ^{2}}

ln (8 - x^{3})

What is the domain of f(x)=(3x+5)/(x^2-x-30) ?
The domain of f(x)=(3x+5)/(x^2-x-30) is x<-5\lor-5<x<6\lor x>6