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

The domain of sqrt(x/(3x+5)) is x = 0

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domain of sqrt(x/(3x+5))

domain

\frac{x}{3 x + 5}

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

Interval Notation

Solution steps

Find non-negative values for radicals:

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

Find undefined (singularity) points:

x = - \frac{5}{3}

Combine real regions and undefined points for final function domain

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

f (x) = 12 x lo g_{10} (x + 6)

f (x) = \frac{1}{2 x ^{2} + x - 6}

f (x) = \frac{x + 5 - 1}{2}

f (x, y) = e^{y}

600 \cdot e^{x} + 2022

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