What is the domain of f(x)=(5x-2)/(2x^2+3x-20) ?

The domain of f(x)=(5x-2)/(2x^2+3x-20) is x 5/2

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domain of f(x)=(5x-2)/(2x^2+3x-20)

domain

f (x) = \frac{5 x - 2}{2 x ^{2} + 3 x - 20}

x < - 4 or - 4 < x < \frac{5}{2} or x > \frac{5}{2}

Interval Notation

(- \infty, - 4) \cup (- 4, \frac{5}{2}) \cup (\frac{5}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{5}{2}, x = - 4

The function domain

x < - 4 or - 4 < x < \frac{5}{2} or x > \frac{5}{2}

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