What is the domain of y=(4x+12)/(-15x^2+20x) ?

The domain of y=(4x+12)/(-15x^2+20x) is x 4/3

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domain of y=(4x+12)/(-15x^2+20x)

domain

x < 0 or 0 < x < \frac{4}{3} or x > \frac{4}{3}

Interval Notation

(- \infty, 0) \cup (0, \frac{4}{3}) \cup (\frac{4}{3}, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = \frac{4}{3}

The function domain

x < 0 or 0 < x < \frac{4}{3} or x > \frac{4}{3}

What is the domain of y=(4x+12)/(-15x^2+20x) ?
The domain of y=(4x+12)/(-15x^2+20x) is x<0\lor 0<x< 4/3 \lor x> 4/3