What is the domain of f(x)=(x-2)/(3x^2+x-2) ?

The domain of f(x)=(x-2)/(3x^2+x-2) is x 2/3

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domain of f(x)=(x-2)/(3x^2+x-2)

domain

f (x) = \frac{x - 2}{3 x ^{2} + x - 2}

x < - 1 or - 1 < x < \frac{2}{3} or x > \frac{2}{3}

Interval Notation

(- \infty, - 1) \cup (- 1, \frac{2}{3}) \cup (\frac{2}{3}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{2}{3}, x = - 1

The function domain

x < - 1 or - 1 < x < \frac{2}{3} or x > \frac{2}{3}

\frac{8 x - 8}{x + 2}

2^{- x} - 1

ln (x + 4)

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

y = \frac{5 x}{x + 6}

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