What is the domain of (5x-5)/((2x+6)(5x-3)x) ?

The domain of (5x-5)/((2x+6)(5x-3)x) is x 3/5

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domain of (5x-5)/((2x+6)(5x-3)x)

domain

\frac{5 x - 5}{( 2 x + 6 ) ( 5 x - 3 ) x}

x < - 3 or - 3 < x < 0 or 0 < x < \frac{3}{5} or x > \frac{3}{5}

Interval Notation

(- \infty, - 3) \cup (- 3, 0) \cup (0, \frac{3}{5}) \cup (\frac{3}{5}, \infty)

Solution steps

Find undefined (singularity) points:

x = - 3, x = \frac{3}{5}, x = 0

The function domain

x < - 3 or - 3 < x < 0 or 0 < x < \frac{3}{5} or x > \frac{3}{5}

x + 1 - 2

x + 1 + 2

- (x + 1) (x - 2)

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

f (x) = \frac{x - 10}{x ^{2} - 16}

What is the domain of (5x-5)/((2x+6)(5x-3)x) ?
The domain of (5x-5)/((2x+6)(5x-3)x) is x<-3\lor-3<x<0\lor 0<x< 3/5 \lor x> 3/5