What is the domain of f(x)=((2x-6))/((x^{(2))+4x-5)} ?

The domain of f(x)=((2x-6))/((x^{(2))+4x-5)} is x 1

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domain of f(x)=((2x-6))/((x^{(2))+4x-5)}

domain

f (x) = \frac{( 2 x - 6 )}{( x ^{(2)} + 4 x - 5 )}

x < - 5 or - 5 < x < 1 or x > 1

Interval Notation

(- \infty, - 5) \cup (- 5, 1) \cup (1, \infty)

Solution steps

Find undefined (singularity) points:

x = 1, x = - 5

The function domain

x < - 5 or - 5 < x < 1 or x > 1

What is the domain of f(x)=((2x-6))/((x^{(2))+4x-5)} ?
The domain of f(x)=((2x-6))/((x^{(2))+4x-5)} is x<-5\lor-5<x<1\lor x>1