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

The domain of f(x)=(x-3)/(2x^2-3x-20) is x 4

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

domain

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

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

The function domain

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

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