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

The domain of sqrt((2x+3)/(x+3)) is x =-3/2

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domain of sqrt((2x+3)/(x+3))

domain

\frac{2 x + 3}{x + 3}

x < - 3 or x \geq - \frac{3}{2}

Interval Notation

(- \infty, - 3) \cup [- \frac{3}{2}, \infty)

Solution steps

Find non-negative values for radicals:

x < - 3 or x \geq - \frac{3}{2}

Find undefined (singularity) points:

x = - 3

Combine real regions and undefined points for final function domain

x < - 3 or x \geq - \frac{3}{2}

f (x) = 2 + 3 x

- \frac{1}{3} - \frac{7}{3}

f (x) = x - 4 - 1

f (x) = lo g_{2} (x + 2) - 5

2 x + 17

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