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

The domain of sqrt(6-2x)+3/(5x) is x<0\lor 0<x<= 3

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

domain

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

x < 0 or 0 < x \leq 3

Interval Notation

(- \infty, 0) \cup (0, 3]

Solution steps

Find non-negative values for radicals:

x \leq 3

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x < 0 or 0 < x \leq 3

\frac{7 x}{2 + 5 x}

y = \frac{x ^{2} + 5 x + 6}{x + 3}

f (x) = 4 - x^{2} + 1 + x

V (x) = 8 x^{3} - 12 x^{2} + x - 9

f (x) = \frac{8}{x ^{2} - 7 x + 10}

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