What is the domain of (2x+1)/(x^2+x-30) ?

The domain of (2x+1)/(x^2+x-30) is x 5

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domain of (2x+1)/(x^2+x-30)

domain

\frac{2 x + 1}{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

g (x) = 4 x + 6

\frac{x}{x ^{2} + 2 x + 3}

f (x) = 10 - 3 - x

(x + 3)

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

What is the domain of (2x+1)/(x^2+x-30) ?
The domain of (2x+1)/(x^2+x-30) is x<-6\lor-6<x<5\lor x>5