What is the domain of ((x+6))/((x^2+3x-4)) ?

The domain of ((x+6))/((x^2+3x-4)) is x 1

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domain of ((x+6))/((x^2+3x-4))

domain

\frac{( x + 6 )}{( x ^{2} + 3 x - 4 )}

x < - 4 or - 4 < x < 1 or x > 1

Interval Notation

(- \infty, - 4) \cup (- 4, 1) \cup (1, \infty)

Solution steps

Find undefined (singularity) points:

x = 1, x = - 4

The function domain

x < - 4 or - 4 < x < 1 or x > 1

f (x) = \frac{x}{8} + 3

f (x) = x^{2} - 12 x + 27

y = \frac{3}{4} x + 1

f (x) = 8 x^{3} + 5

y = - 2 x + 7

What is the domain of ((x+6))/((x^2+3x-4)) ?
The domain of ((x+6))/((x^2+3x-4)) is x<-4\lor-4<x<1\lor x>1