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

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

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

domain

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

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

Interval Notation

(- \infty, - 2) \cup (- 2, 1) \cup (1, \infty)

Solution steps

Find undefined (singularity) points:

x = 1, x = - 2

The function domain

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

f (x) = 0.38 x + 5

g (x) = - 2 x^{2} - 3, x \leq 2

f (x) = (4 - x^{2})

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

f (x) = 3 x (x - 3)^{3}

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