What is the domain of 1/(3x^2+11x-20) ?

The domain of 1/(3x^2+11x-20) is x 4/3

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domain of 1/(3x^2+11x-20)

domain

\frac{1}{3 x ^{2} + 11 x - 20}

x < - 5 or - 5 < x < \frac{4}{3} or x > \frac{4}{3}

Interval Notation

(- \infty, - 5) \cup (- 5, \frac{4}{3}) \cup (\frac{4}{3}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{4}{3}, x = - 5

The function domain

x < - 5 or - 5 < x < \frac{4}{3} or x > \frac{4}{3}

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

f (x) = \frac{x ^{2} + 9 x + 18}{2 x ^{2} - 18}

f (x) = ln (9 t^{2} - 64)

f (x) = \frac{- 18 x - 21}{5 x + 6}

f (x) = 60 x + 4500

What is the domain of 1/(3x^2+11x-20) ?
The domain of 1/(3x^2+11x-20) is x<-5\lor-5<x< 4/3 \lor x> 4/3