What is the domain of f(x)=(x+6)/(x^2+x-30) ?

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

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domain of f(x)=(x+6)/(x^2+x-30)

domain

f (x) = \frac{x + 6}{x ^{2} + x - 30}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 5, x = - 6

The function domain

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

ln (x^{2} + 25)

f (x) = ∣ x - 2 ∣ + ∣ x + 2 ∣

f (x) = \frac{- 5 x - 7}{4 - x}

f (x) = 3 x^{2} + 6 x - 2

f (x) = ln (6 x)

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