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

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

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

domain

f (x) = \frac{x ^{2}}{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

x^{4} e^{- x}

f (x) = \frac{( x - 1 ) ( x ^{2} + 4 )}{x ( x + 1 )}

\frac{8 + 2 x}{x + 7} + lo g_{10} (24 - 2 x)

\frac{x ^{2} + 3 x + 1}{3 x - 6}

y = 8 - 3 x

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