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

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

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

domain

\frac{4}{x ^{2} + x - 2}

x < - 2 or - 2 < x < 1 or x > 1

Solution steps

Find undefined (singularity) points:

x = 1, x = - 2

The function domain

x < - 2 or - 2 < x < 1 or x > 1

f (x) = x^{2} + 8 x = - 11

f (x) = \frac{x + 39}{x - 3}

f (x) = \frac{x + 5}{x ^{2} - 25}

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

f (x) = x - 1 + 1

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